diff --git a/src/Interpreters/InterpreterSelectQuery.cpp b/src/Interpreters/InterpreterSelectQuery.cpp
index 33f9deaf805..051dff19bff 100644
--- a/src/Interpreters/InterpreterSelectQuery.cpp
+++ b/src/Interpreters/InterpreterSelectQuery.cpp
@@ -2429,7 +2429,10 @@ void InterpreterSelectQuery::executePreLimit(QueryPlan & query_plan, bool do_not
         }
 
         auto limit = std::make_unique<LimitStep>(query_plan.getCurrentDataStream(), limit_length, limit_offset);
-        limit->setStepDescription("preliminary LIMIT");
+        if (do_not_skip_offset)
+            limit->setStepDescription("preliminary LIMIT (with OFFSET)");
+        else
+            limit->setStepDescription("preliminary LIMIT (without OFFSET)");
         query_plan.addStep(std::move(limit));
     }
 }
diff --git a/tests/queries/0_stateless/01562_optimize_monotonous_functions_in_order_by.reference b/tests/queries/0_stateless/01562_optimize_monotonous_functions_in_order_by.reference
index 0eb7e06f724..bf9bff06959 100644
--- a/tests/queries/0_stateless/01562_optimize_monotonous_functions_in_order_by.reference
+++ b/tests/queries/0_stateless/01562_optimize_monotonous_functions_in_order_by.reference
@@ -5,7 +5,7 @@ FROM test_order_by
 ORDER BY timestamp ASC
 LIMIT 10
 Expression (Projection)
-  Limit (preliminary LIMIT)
+  Limit (preliminary LIMIT (without OFFSET))
     MergingSorted (Merge sorted streams for ORDER BY)
       MergeSorting (Merge sorted blocks for ORDER BY)
         PartialSorting (Sort each block for ORDER BY)
@@ -19,7 +19,7 @@ FROM test_order_by
 ORDER BY toDate(timestamp) ASC
 LIMIT 10
 Expression (Projection)
-  Limit (preliminary LIMIT)
+  Limit (preliminary LIMIT (without OFFSET))
     FinishSorting
       Expression (Before ORDER BY)
         SettingQuotaAndLimits (Set limits and quota after reading from storage)
@@ -33,7 +33,7 @@ ORDER BY
     timestamp ASC
 LIMIT 10
 Expression (Projection)
-  Limit (preliminary LIMIT)
+  Limit (preliminary LIMIT (without OFFSET))
     FinishSorting
       Expression (Before ORDER BY)
         SettingQuotaAndLimits (Set limits and quota after reading from storage)
diff --git a/tests/queries/0_stateless/01576_alias_column_rewrite.reference b/tests/queries/0_stateless/01576_alias_column_rewrite.reference
index c9a4c04b352..2a824e62158 100644
--- a/tests/queries/0_stateless/01576_alias_column_rewrite.reference
+++ b/tests/queries/0_stateless/01576_alias_column_rewrite.reference
@@ -22,7 +22,7 @@ lambda
 1
 optimize_read_in_order
 Expression (Projection)
-  Limit (preliminary LIMIT)
+  Limit (preliminary LIMIT (without OFFSET))
     MergingSorted (Merge sorted streams for ORDER BY)
       MergeSorting (Merge sorted blocks for ORDER BY)
         PartialSorting (Sort each block for ORDER BY)
@@ -30,13 +30,13 @@ Expression (Projection)
             SettingQuotaAndLimits (Set limits and quota after reading from storage)
               ReadFromMergeTree
 Expression (Projection)
-  Limit (preliminary LIMIT)
+  Limit (preliminary LIMIT (without OFFSET))
     FinishSorting
       Expression (Before ORDER BY)
         SettingQuotaAndLimits (Set limits and quota after reading from storage)
           ReadFromMergeTree
 Expression (Projection)
-  Limit (preliminary LIMIT)
+  Limit (preliminary LIMIT (without OFFSET))
     FinishSorting
       Expression (Before ORDER BY)
         SettingQuotaAndLimits (Set limits and quota after reading from storage)