diff --git a/src/Storages/MergeTree/BackgroundJobsExecutor.cpp b/src/Storages/MergeTree/BackgroundJobsExecutor.cpp
index 11039edc057..ed6f353c219 100644
--- a/src/Storages/MergeTree/BackgroundJobsExecutor.cpp
+++ b/src/Storages/MergeTree/BackgroundJobsExecutor.cpp
@@ -13,7 +13,6 @@ BackgroundJobAssignee::BackgroundJobAssignee(MergeTreeData & data_, BackgroundJo
     , data(data_)
     , sleep_settings(global_context_->getBackgroundMoveTaskSchedulingSettings())
     , rng(randomSeed())
-    , storage_id(data.getStorageID())
     , type(type_)
 {
 }
@@ -107,6 +106,7 @@ void BackgroundJobAssignee::finish()
         holder->deactivate();
 
         auto context = getContext();
+        auto storage_id = data.getStorageID();
 
         context->getMovesExecutor()->removeTasksCorrespondingToStorage(storage_id);
         context->getFetchesExecutor()->removeTasksCorrespondingToStorage(storage_id);
diff --git a/src/Storages/MergeTree/BackgroundJobsExecutor.h b/src/Storages/MergeTree/BackgroundJobsExecutor.h
index d89d8721697..aba30aa06e7 100644
--- a/src/Storages/MergeTree/BackgroundJobsExecutor.h
+++ b/src/Storages/MergeTree/BackgroundJobsExecutor.h
@@ -48,9 +48,6 @@ private:
     /// Mutex for thread safety
     std::mutex holder_mutex;
 
-    /// Save storage id to prevent use-after-free in destructor
-    StorageID storage_id;
-
 public:
     enum class Type
     {
diff --git a/src/Storages/MergeTree/MergeMutateExecutor.cpp b/src/Storages/MergeTree/MergeMutateExecutor.cpp
index cf7283d9c2b..e28c5b7f867 100644
--- a/src/Storages/MergeTree/MergeMutateExecutor.cpp
+++ b/src/Storages/MergeTree/MergeMutateExecutor.cpp
@@ -6,12 +6,45 @@
 namespace DB
 {
 
+void MergeTreeBackgroundExecutor::removeTasksCorrespondingToStorage(StorageID id)
+{
+    std::lock_guard remove_lock(remove_mutex);
+
+    /// First stop the scheduler thread
+    {
+        std::unique_lock lock(mutex);
+        shutdown_suspend = true;
+        has_tasks.notify_one();
+    }
+
+    scheduler.join();
+
+    /// Remove tasks
+    {
+        std::lock_guard lock(currently_executing_mutex);
+
+        for (auto & [task, future] : currently_executing)
+        {
+            if (task->getStorageID() == id)
+                future.wait();
+        }
+
+        /// Remove tasks from original queue
+        size_t erased_count = std::erase_if(tasks, [id = std::move(id)] (auto task) -> bool { return task->getStorageID() == id; });
+        CurrentMetrics::sub(metric, erased_count);
+    }
+
+    shutdown_suspend = false;
+    scheduler = ThreadFromGlobalPool([this]() { schedulerThreadFunction(); });
+}
+
 
 void MergeTreeBackgroundExecutor::schedulerThreadFunction()
 {
     while (true)
     {
         ExecutableTaskPtr current;
+        auto current_promise = std::make_shared<std::promise<void>>();
         {
             std::unique_lock lock(mutex);
             has_tasks.wait(lock, [this](){ return !tasks.empty() || shutdown_suspend; });
@@ -26,11 +59,29 @@ void MergeTreeBackgroundExecutor::schedulerThreadFunction()
             updatePoolConfiguration();
         }
 
-        bool res = pool.trySchedule([this, task = current] ()
         {
+            std::lock_guard lock(currently_executing_mutex);
+            currently_executing.emplace(current, current_promise->get_future());
+        }
+
+        bool res = pool.trySchedule([this, task = current, promise = current_promise] () mutable
+        {
+            auto on_exit = [&] ()
+            {
+                promise->set_value();
+                {
+                    std::lock_guard lock(currently_executing_mutex);
+                    currently_executing.erase(task);
+                }
+            };
+
+            SCOPE_EXIT({ on_exit(); });
+
             try
             {
-                if (task->execute())
+                bool result = task->execute();
+
+                if (result)
                 {
                     std::lock_guard guard(mutex);
                     tasks.emplace_back(task);
diff --git a/src/Storages/MergeTree/MergeMutateExecutor.h b/src/Storages/MergeTree/MergeMutateExecutor.h
index ec0b71910ef..9f1759ff307 100644
--- a/src/Storages/MergeTree/MergeMutateExecutor.h
+++ b/src/Storages/MergeTree/MergeMutateExecutor.h
@@ -97,17 +97,7 @@ public:
         return true;
     }
 
-    void removeTasksCorrespondingToStorage(StorageID id)
-    {
-        /// Stop scheduler thread and pool
-        auto lock = getUniqueLock();
-        /// Get lock to the tasks
-        std::lock_guard second_lock(mutex);
-
-        size_t erased_count = std::erase_if(tasks, [id = std::move(id)] (auto task) -> bool { return task->getStorageID() == id; });
-        CurrentMetrics::sub(metric, erased_count);
-    }
-
+    void removeTasksCorrespondingToStorage(StorageID id);
 
     void wait()
     {
@@ -125,48 +115,6 @@ public:
 
 private:
 
-    using ExecutorSuspender = std::unique_lock<MergeTreeBackgroundExecutor>;
-    friend class std::unique_lock<MergeTreeBackgroundExecutor>;
-
-    ExecutorSuspender getUniqueLock()
-    {
-        return ExecutorSuspender(*this);
-    }
-
-    /// This is needed to achive mutual exclusion
-    std::mutex lock_mutex;
-
-    void lock()
-    {
-        lock_mutex.lock();
-        suspend();
-    }
-
-    void unlock()
-    {
-        resume();
-        lock_mutex.unlock();
-    }
-
-    void suspend()
-    {
-        {
-            std::unique_lock lock(mutex);
-            shutdown_suspend = true;
-            has_tasks.notify_one();
-        }
-        scheduler.join();
-        pool.wait();
-    }
-
-
-    void resume()
-    {
-        shutdown_suspend = false;
-        scheduler = ThreadFromGlobalPool([this]() { schedulerThreadFunction(); });
-    }
-
-
     void updatePoolConfiguration()
     {
         const auto max_threads = threads_count_getter();
@@ -188,8 +136,12 @@ private:
     CountGetter max_task_count_getter;
     CurrentMetrics::Metric metric;
 
-    using TasksQueue = std::deque<ExecutableTaskPtr>;
-    TasksQueue tasks;
+    std::deque<ExecutableTaskPtr> tasks;
+
+    std::mutex remove_mutex;
+
+    std::mutex currently_executing_mutex;
+    std::map<ExecutableTaskPtr, std::future<void>> currently_executing;
 
     std::mutex mutex;
     std::condition_variable has_tasks;
diff --git a/src/Storages/StorageReplicatedMergeTree.cpp b/src/Storages/StorageReplicatedMergeTree.cpp
index 30c0f63bde5..4ba7b120fc2 100644
--- a/src/Storages/StorageReplicatedMergeTree.cpp
+++ b/src/Storages/StorageReplicatedMergeTree.cpp
@@ -17,6 +17,7 @@
 #include <Storages/StorageReplicatedMergeTree.h>
 #include <Storages/MergeTree/IMergeTreeDataPart.h>
 #include <Storages/MergeTree/MergeList.h>
+#include <Storages/MergeTree/MergeMutateExecutor.h>
 #include <Storages/MergeTree/MergedBlockOutputStream.h>
 #include <Storages/MergeTree/PinnedPartUUIDs.h>
 #include <Storages/MergeTree/PartitionPruner.h>