diff --git a/src/Disks/DiskDecorator.cpp b/src/Disks/DiskDecorator.cpp
index 52e323487f2..f61496ab078 100644
--- a/src/Disks/DiskDecorator.cpp
+++ b/src/Disks/DiskDecorator.cpp
@@ -236,9 +236,9 @@ void DiskDecorator::applyNewSettings(const Poco::Util::AbstractConfiguration & c
     delegate->applyNewSettings(config, context, config_prefix, map);
 }
 
-DiskObjectStoragePtr DiskDecorator::createDiskObjectStorage(const String & name)
+DiskObjectStoragePtr DiskDecorator::createDiskObjectStorage()
 {
-    return delegate->createDiskObjectStorage(name);
+    return delegate->createDiskObjectStorage();
 }
 
 }
diff --git a/src/Disks/DiskDecorator.h b/src/Disks/DiskDecorator.h
index 8d5e91e395e..81b0c24cbc7 100644
--- a/src/Disks/DiskDecorator.h
+++ b/src/Disks/DiskDecorator.h
@@ -88,8 +88,8 @@ public:
     StoredObjects getStorageObjects(const String & path) const override { return delegate->getStorageObjects(path); }
     void getRemotePathsRecursive(const String & path, std::vector<LocalPathWithObjectStoragePaths> & paths_map) override { return delegate->getRemotePathsRecursive(path, paths_map); }
 
-    DiskObjectStoragePtr createDiskObjectStorage(const String &) override;
-    const std::unordered_set<String> & getCacheLayersNames() const override { return delegate->getCacheLayersNames(); }
+    DiskObjectStoragePtr createDiskObjectStorage() override;
+    NameSet getCacheLayersNames() const override { return delegate->getCacheLayersNames(); }
 
     MetadataStoragePtr getMetadataStorage() override { return delegate->getMetadataStorage(); }
 
@@ -97,8 +97,6 @@ public:
 
     UInt32 getRefCount(const String & path) const override { return delegate->getRefCount(path); }
 
-    DiskPtr getWrappedDisk() const override { return delegate; }
-
     void syncRevision(UInt64 revision) override { delegate->syncRevision(revision); }
 
     UInt64 getRevision() const override { return delegate->getRevision(); }
diff --git a/src/Disks/DiskLocal.cpp b/src/Disks/DiskLocal.cpp
index a96917e05c0..5af08179a0a 100644
--- a/src/Disks/DiskLocal.cpp
+++ b/src/Disks/DiskLocal.cpp
@@ -596,7 +596,7 @@ catch (...)
     return false;
 }
 
-DiskObjectStoragePtr DiskLocal::createDiskObjectStorage(const String & name_)
+DiskObjectStoragePtr DiskLocal::createDiskObjectStorage()
 {
     auto object_storage = std::make_shared<LocalObjectStorage>();
     auto metadata_storage = std::make_shared<FakeMetadataStorageFromDisk>(
@@ -605,9 +605,9 @@ DiskObjectStoragePtr DiskLocal::createDiskObjectStorage(const String & name_)
         /* object_storage_root_path */getPath());
 
     return std::make_shared<DiskObjectStorage>(
-        name_,
+        getName(),
         disk_path,
-        "DiskLocalObjectStorage",
+        "Local",
         metadata_storage,
         object_storage,
         DiskType::Local,
diff --git a/src/Disks/DiskLocal.h b/src/Disks/DiskLocal.h
index b202439bb2b..7d91abfe6b8 100644
--- a/src/Disks/DiskLocal.h
+++ b/src/Disks/DiskLocal.h
@@ -122,7 +122,7 @@ public:
     bool canRead() const noexcept;
     bool canWrite() const noexcept;
 
-    DiskObjectStoragePtr createDiskObjectStorage(const String & name_) override;
+    DiskObjectStoragePtr createDiskObjectStorage() override;
 
 private:
     std::optional<UInt64> tryReserve(UInt64 bytes);
diff --git a/src/Disks/IDisk.h b/src/Disks/IDisk.h
index 5cbff679bab..f4e37a3810a 100644
--- a/src/Disks/IDisk.h
+++ b/src/Disks/IDisk.h
@@ -222,16 +222,11 @@ public:
 
     virtual bool supportsCache() const { return false; }
 
-    virtual const std::unordered_set<String> & getCacheLayersNames() const
+    virtual NameSet getCacheLayersNames() const
     {
         throw Exception(ErrorCodes::NOT_IMPLEMENTED, "Method `getCacheLayersNames()` is not implemented for disk: {}", getType());
     }
 
-    virtual DiskPtr getWrappedDisk() const
-    {
-        throw Exception(ErrorCodes::NOT_IMPLEMENTED, "Method `getWrappedDisk()` is not implemented for disk: {}", getType());
-    }
-
     /// Returns a list of storage objects (contains path, size, ...).
     /// (A list is returned because for Log family engines there might
     /// be multiple files in remote fs for single clickhouse file.
@@ -351,7 +346,7 @@ public:
     /// Return current disk revision.
     virtual UInt64 getRevision() const { return 0; }
 
-    virtual DiskObjectStoragePtr createDiskObjectStorage(const String &)
+    virtual DiskObjectStoragePtr createDiskObjectStorage()
     {
         throw Exception(
             ErrorCodes::NOT_IMPLEMENTED,
diff --git a/src/Disks/ObjectStorages/Cached/CachedObjectStorage.cpp b/src/Disks/ObjectStorages/Cached/CachedObjectStorage.cpp
index 81d69db6669..d7b4e9f495d 100644
--- a/src/Disks/ObjectStorages/Cached/CachedObjectStorage.cpp
+++ b/src/Disks/ObjectStorages/Cached/CachedObjectStorage.cpp
@@ -21,10 +21,14 @@ namespace ErrorCodes
     extern const int CANNOT_STAT;
 }
 
-CachedObjectStorage:: CachedObjectStorage(ObjectStoragePtr object_storage_, FileCachePtr cache_)
+CachedObjectStorage:: CachedObjectStorage(
+    ObjectStoragePtr object_storage_,
+    FileCachePtr cache_,
+    const std::string & cache_config_name_)
     : object_storage(object_storage_)
     , cache(cache_)
-    , log(&Poco::Logger::get(getName() + "(" + object_storage_->getName() +")"))
+    , cache_config_name(cache_config_name_)
+    , log(&Poco::Logger::get(getName()))
 {
     cache->initialize();
 }
diff --git a/src/Disks/ObjectStorages/Cached/CachedObjectStorage.h b/src/Disks/ObjectStorages/Cached/CachedObjectStorage.h
index 7b5f9e75750..1442077a358 100644
--- a/src/Disks/ObjectStorages/Cached/CachedObjectStorage.h
+++ b/src/Disks/ObjectStorages/Cached/CachedObjectStorage.h
@@ -14,7 +14,7 @@ namespace DB
 class CachedObjectStorage : public IObjectStorage
 {
 public:
-    CachedObjectStorage(ObjectStoragePtr object_storage_, FileCachePtr cache_);
+    CachedObjectStorage(ObjectStoragePtr object_storage_, FileCachePtr cache_, const String & cache_config_name_);
 
     std::string getName() const override { return "CachedObjectStorage(" + object_storage->getName() + ")"; }
 
@@ -95,6 +95,10 @@ public:
 
     bool isReadOnly() const override { return object_storage->isReadOnly(); }
 
+    const std::string & getCacheConfigName() const { return cache_config_name; }
+
+    ObjectStoragePtr getWrappedObjectStorage() { return object_storage; }
+
 private:
     IFileCache::Key getCacheKey(const std::string & path) const;
     String getCachePath(const std::string & path) const;
@@ -102,6 +106,7 @@ private:
 
     ObjectStoragePtr object_storage;
     FileCachePtr cache;
+    std::string cache_config_name;
     Poco::Logger * log;
 };
 
diff --git a/src/Disks/ObjectStorages/Cached/registerDiskCache.cpp b/src/Disks/ObjectStorages/Cached/registerDiskCache.cpp
index b3de9ed70d6..72b50013f41 100644
--- a/src/Disks/ObjectStorages/Cached/registerDiskCache.cpp
+++ b/src/Disks/ObjectStorages/Cached/registerDiskCache.cpp
@@ -35,6 +35,7 @@ void registerDiskCache(DiskFactory & factory)
                 "There is not disk with name `{}`, disk name should be initialized before cache disk",
                 disk_name);
         }
+        /// TODO: Add a check that there underlying storage is unique among cached storages.
 
         FileCacheSettings file_cache_settings;
         file_cache_settings.loadFromConfig(config, config_prefix);
@@ -44,9 +45,10 @@ void registerDiskCache(DiskFactory & factory)
             fs::create_directories(cache_base_path);
 
         auto disk = disk_it->second;
-        auto disk_object_storage = disk->createDiskObjectStorage(disk_name);
 
         auto cache = FileCacheFactory::instance().getOrCreate(cache_base_path, file_cache_settings, name);
+        auto disk_object_storage = disk->createDiskObjectStorage();
+
         disk_object_storage->wrapWithCache(cache, name);
 
         LOG_TEST(
diff --git a/src/Disks/ObjectStorages/DiskObjectStorage.cpp b/src/Disks/ObjectStorages/DiskObjectStorage.cpp
index c3005440f3f..36818ec22f8 100644
--- a/src/Disks/ObjectStorages/DiskObjectStorage.cpp
+++ b/src/Disks/ObjectStorages/DiskObjectStorage.cpp
@@ -445,12 +445,12 @@ bool DiskObjectStorage::isReadOnly() const
     return object_storage->isReadOnly();
 }
 
-DiskObjectStoragePtr DiskObjectStorage::createDiskObjectStorage(const String & name_)
+DiskObjectStoragePtr DiskObjectStorage::createDiskObjectStorage()
 {
     return std::make_shared<DiskObjectStorage>(
-        name_,
+        getName(),
         object_storage_root_path,
-        name,
+        getName(),
         metadata_storage,
         object_storage,
         disk_type,
@@ -460,8 +460,21 @@ DiskObjectStoragePtr DiskObjectStorage::createDiskObjectStorage(const String & n
 
 void DiskObjectStorage::wrapWithCache(FileCachePtr cache, const String & layer_name)
 {
-    object_storage = std::make_shared<CachedObjectStorage>(object_storage, cache);
-    cache_layers.insert(layer_name);
+    object_storage = std::make_shared<CachedObjectStorage>(object_storage, cache, layer_name);
+}
+
+NameSet DiskObjectStorage::getCacheLayersNames() const
+{
+    NameSet cache_layers;
+    auto current_object_storage = object_storage;
+    while (current_object_storage->supportsCache())
+    {
+        auto * cached_object_storage = assert_cast<CachedObjectStorage *>(current_object_storage.get());
+        cache_layers.insert(cached_object_storage->getCacheConfigName());
+        std::cerr << "\n\n" << "having cache layer: " << cached_object_storage->getCacheConfigName() << " for " << object_storage->getName() << "\n\n";
+        current_object_storage = cached_object_storage->getWrappedObjectStorage();
+    }
+    return cache_layers;
 }
 
 template <typename T>
diff --git a/src/Disks/ObjectStorages/DiskObjectStorage.h b/src/Disks/ObjectStorages/DiskObjectStorage.h
index 0ebe5ed1ee7..a073b9caccc 100644
--- a/src/Disks/ObjectStorages/DiskObjectStorage.h
+++ b/src/Disks/ObjectStorages/DiskObjectStorage.h
@@ -164,7 +164,7 @@ public:
 
     UInt64 getRevision() const override;
 
-    DiskObjectStoragePtr createDiskObjectStorage(const String & name_) override;
+    DiskObjectStoragePtr createDiskObjectStorage() override;
 
     bool supportsCache() const override;
 
@@ -186,7 +186,7 @@ public:
     String getStructure() const { return "DiskObjectStorage(" + object_storage->getName() + ")"; }
 
     /// Get names of all cache layers. Name is how cache is defined in configuration file.
-    const std::unordered_set<String> & getCacheLayersNames() const override { return cache_layers; }
+    NameSet getCacheLayersNames() const override;
 
 private:
 
@@ -212,8 +212,6 @@ private:
     size_t threadpool_size;
 
     std::unique_ptr<DiskObjectStorageRemoteMetadataRestoreHelper> metadata_helper;
-
-    std::unordered_set<String> cache_layers;
 };
 
 using DiskObjectStoragePtr = std::shared_ptr<DiskObjectStorage>;
diff --git a/tests/config/config.d/storage_conf.xml b/tests/config/config.d/storage_conf.xml
index c84d0d1af19..aedd389fa52 100644
--- a/tests/config/config.d/storage_conf.xml
+++ b/tests/config/config.d/storage_conf.xml
@@ -30,6 +30,13 @@
                 <access_key_id>clickhouse</access_key_id>
                 <secret_access_key>clickhouse</secret_access_key>
             </s3_disk_4>
+            <s3_disk_5>
+                <type>s3</type>
+                <path>s3_disk_5/</path>
+                <endpoint>http://localhost:11111/test/00170_test/</endpoint>
+                <access_key_id>clickhouse</access_key_id>
+                <secret_access_key>clickhouse</secret_access_key>
+            </s3_disk_5>
             <!-- cache for s3 disks -->
             <s3_cache>
                 <type>cache</type>
@@ -61,6 +68,12 @@
                 <cache_on_write_operations>1</cache_on_write_operations>
                 <enable_filesystem_query_cache_limit>1</enable_filesystem_query_cache_limit>
             </s3_cache_4>
+            <s3_cache_5>
+                <type>cache</type>
+                <disk>s3_disk_5</disk>
+                <path>s3_cache_5/</path>
+                <max_size>22548578304</max_size>
+            </s3_cache_5>
             <!-- local disks -->
             <local_disk>
                 <type>local</type>
@@ -96,6 +109,19 @@
                 <cache_on_write_operations>1</cache_on_write_operations>
                 <enable_cache_hits_threshold>1</enable_cache_hits_threshold>
             </local_cache_3>
+            <!-- multi layer cache -->
+            <s3_cache_multi>
+                <type>cache</type>
+                <disk>s3_cache_5</disk>
+                <path>s3_cache_multi/</path>
+                <max_size>22548578304</max_size>
+            </s3_cache_multi>
+            <s3_cache_multi_2>
+                <type>cache</type>
+                <disk>s3_cache_multi</disk>
+                <path>s3_cache_multi_2/</path>
+                <max_size>22548578304</max_size>
+            </s3_cache_multi_2>
         </disks>
         <policies>
             <s3_cache>
@@ -126,6 +152,13 @@
                     </main>
                 </volumes>
             </s3_cache_4>
+            <s3_cache_multi>
+                <volumes>
+                    <main>
+                        <disk>s3_cache_multi_2</disk>
+                    </main>
+                </volumes>
+            </s3_cache_multi>
             <local_cache>
                 <volumes>
                     <main>
diff --git a/tests/queries/0_stateless/02313_filesystem_cache_seeks.reference b/tests/queries/0_stateless/02313_filesystem_cache_seeks.reference
index d6c89d758f8..73871f55856 100644
--- a/tests/queries/0_stateless/02313_filesystem_cache_seeks.reference
+++ b/tests/queries/0_stateless/02313_filesystem_cache_seeks.reference
@@ -2,3 +2,5 @@ Using storage policy: s3_cache
 
 Using storage policy: local_cache
 
+Using storage policy: s3_cache_multi
+
diff --git a/tests/queries/0_stateless/02313_filesystem_cache_seeks.sh b/tests/queries/0_stateless/02313_filesystem_cache_seeks.sh
index 6576975c521..d1b059679b6 100755
--- a/tests/queries/0_stateless/02313_filesystem_cache_seeks.sh
+++ b/tests/queries/0_stateless/02313_filesystem_cache_seeks.sh
@@ -11,7 +11,7 @@ TMP_PATH=${CLICKHOUSE_TEST_UNIQUE_NAME}
 QUERIES_FILE=02313_filesystem_cache_seeks.queries
 TEST_FILE=$CUR_DIR/filesystem_cache_queries/$QUERIES_FILE
 
-for storagePolicy in 's3_cache' 'local_cache'; do
+for storagePolicy in 's3_cache' 'local_cache' 's3_cache_multi'; do
     echo "Using storage policy: $storagePolicy"
     cat $TEST_FILE | sed -e "s/_storagePolicy/${storagePolicy}/"  > $TMP_PATH
     ${CLICKHOUSE_CLIENT} --queries-file $TMP_PATH