diff --git a/src/Interpreters/MutationsInterpreter.cpp b/src/Interpreters/MutationsInterpreter.cpp
index fe0594bb58f..ff2f3e97c4e 100644
--- a/src/Interpreters/MutationsInterpreter.cpp
+++ b/src/Interpreters/MutationsInterpreter.cpp
@@ -920,9 +920,10 @@ BlockInputStreamPtr MutationsInterpreter::execute()
     return result_stream;
 }
 
-const Block & MutationsInterpreter::getUpdatedHeader() const
+Block MutationsInterpreter::getUpdatedHeader() const
 {
-    return *updated_header;
+    // If it's an index/projection materialization, we don't write any data columns, thus empty header is used
+    return mutation_kind.mutation_kind == MutationKind::MUTATE_INDEX_PROJECTION ? Block{} : *updated_header;
 }
 
 const ColumnDependencies & MutationsInterpreter::getColumnDependencies() const
diff --git a/src/Interpreters/MutationsInterpreter.h b/src/Interpreters/MutationsInterpreter.h
index c9a589e6b6d..4f8960ae8f7 100644
--- a/src/Interpreters/MutationsInterpreter.h
+++ b/src/Interpreters/MutationsInterpreter.h
@@ -53,7 +53,7 @@ public:
     BlockInputStreamPtr execute();
 
     /// Only changed columns.
-    const Block & getUpdatedHeader() const;
+    Block getUpdatedHeader() const;
 
     const ColumnDependencies & getColumnDependencies() const;
 
diff --git a/src/Storages/MergeTree/MergeTreeDataMergerMutator.cpp b/src/Storages/MergeTree/MergeTreeDataMergerMutator.cpp
index 6279d2d7d6f..0a92efdf61c 100644
--- a/src/Storages/MergeTree/MergeTreeDataMergerMutator.cpp
+++ b/src/Storages/MergeTree/MergeTreeDataMergerMutator.cpp
@@ -1332,11 +1332,8 @@ MergeTreeData::MutableDataPartPtr MergeTreeDataMergerMutator::mutatePartToTempor
     {
         /// We will modify only some of the columns. Other columns and key values can be copied as-is.
         NameSet updated_columns;
-        if (mutation_kind != MutationsInterpreter::MutationKind::MUTATE_INDEX_PROJECTION)
-        {
-            for (const auto & name_type : updated_header.getNamesAndTypesList())
-                updated_columns.emplace(name_type.name);
-        }
+        for (const auto & name_type : updated_header.getNamesAndTypesList())
+            updated_columns.emplace(name_type.name);
 
         auto indices_to_recalc = getIndicesToRecalculate(
             in, updated_columns, metadata_snapshot, context, materialized_indices, source_part);
@@ -1345,7 +1342,7 @@ MergeTreeData::MutableDataPartPtr MergeTreeDataMergerMutator::mutatePartToTempor
 
         NameSet files_to_skip = collectFilesToSkip(
             source_part,
-            mutation_kind == MutationsInterpreter::MutationKind::MUTATE_INDEX_PROJECTION ? Block{} : updated_header,
+            updated_header,
             indices_to_recalc,
             mrk_extension,
             projections_to_recalc);
@@ -1413,8 +1410,7 @@ MergeTreeData::MutableDataPartPtr MergeTreeDataMergerMutator::mutatePartToTempor
                 metadata_snapshot,
                 indices_to_recalc,
                 projections_to_recalc,
-                // If it's an index/projection materialization, we don't write any data columns, thus empty header is used
-                mutation_kind == MutationsInterpreter::MutationKind::MUTATE_INDEX_PROJECTION ? Block{} : updated_header,
+                updated_header,
                 new_data_part,
                 in,
                 time_of_mutation,
diff --git a/src/Storages/MergeTree/MergeTreeDataSelectExecutor.cpp b/src/Storages/MergeTree/MergeTreeDataSelectExecutor.cpp
index 0b5351dcf01..342bcb25b0b 100644
--- a/src/Storages/MergeTree/MergeTreeDataSelectExecutor.cpp
+++ b/src/Storages/MergeTree/MergeTreeDataSelectExecutor.cpp
@@ -361,10 +361,11 @@ QueryPlanPtr MergeTreeDataSelectExecutor::read(
     pipes.emplace_back(std::move(projection_pipe));
     pipes.emplace_back(std::move(ordinary_pipe));
     auto pipe = Pipe::unitePipes(std::move(pipes));
-    // TODO what if pipe is empty?
     pipe.resize(1);
 
-    auto step = std::make_unique<ReadFromStorageStep>(std::move(pipe), "MergeTree(with projection)");
+    auto step = std::make_unique<ReadFromStorageStep>(
+        std::move(pipe),
+        fmt::format("MergeTree(with {} projection {})", query_info.projection->desc->type, query_info.projection->desc->name));
     auto plan = std::make_unique<QueryPlan>();
     plan->addStep(std::move(step));
     return plan;
diff --git a/tests/queries/0_stateless/01710_projection_materialize_with_missing_columns.reference b/tests/queries/0_stateless/01710_projection_materialize_with_missing_columns.reference
new file mode 100644
index 00000000000..e69de29bb2d
diff --git a/tests/queries/0_stateless/01710_projection_materialize_with_missing_columns.sql b/tests/queries/0_stateless/01710_projection_materialize_with_missing_columns.sql
new file mode 100644
index 00000000000..28bf1c050d0
--- /dev/null
+++ b/tests/queries/0_stateless/01710_projection_materialize_with_missing_columns.sql
@@ -0,0 +1,9 @@
+drop table if exists x;
+
+create table x (i int) engine MergeTree order by tuple();
+insert into x values (1);
+alter table x add column j int;
+alter table x add projection p_agg (select sum(j));
+alter table x materialize projection p_agg settings mutations_sync = 1;
+
+drop table x;