diff --git a/dbms/src/Interpreters/sortBlock.cpp b/dbms/src/Interpreters/sortBlock.cpp
index d2401433ca0..d00a9deaab2 100644
--- a/dbms/src/Interpreters/sortBlock.cpp
+++ b/dbms/src/Interpreters/sortBlock.cpp
@@ -141,8 +141,6 @@ void sortBlock(Block & block, const SortDescription & description, UInt64 limit)
         {
             if (!is_column_const)
                 block.getByPosition(i).column = block.getByPosition(i).column->permute(perm, limit);
-            else if (limit != 0) // LIMIT exists
-                block.getByPosition(i).column = block.getByPosition(i).column->cut(0, limit);
         }
     }
     else
diff --git a/dbms/tests/queries/0_stateless/01072_select_constant_limit.reference b/dbms/tests/queries/0_stateless/01072_select_constant_limit.reference
new file mode 100644
index 00000000000..d81cc0710eb
--- /dev/null
+++ b/dbms/tests/queries/0_stateless/01072_select_constant_limit.reference
@@ -0,0 +1 @@
+42
diff --git a/dbms/tests/queries/0_stateless/01072_select_constant_limit.sql b/dbms/tests/queries/0_stateless/01072_select_constant_limit.sql
new file mode 100644
index 00000000000..eaaa6a0ac8e
--- /dev/null
+++ b/dbms/tests/queries/0_stateless/01072_select_constant_limit.sql
@@ -0,0 +1 @@
+SELECT 42 AS foo ORDER BY foo LIMIT 2