diff --git a/mysql-test/main/delete_multi_order_by.result b/mysql-test/main/delete_multi_order_by.result
index 656090040ef5d..eddc3f55f2538 100644
--- a/mysql-test/main/delete_multi_order_by.result
+++ b/mysql-test/main/delete_multi_order_by.result
@@ -423,5 +423,14 @@ COUNT(*)
 0
 DROP TABLE t1;
 #
+# MDEV-40573 Assertion `del_table == table_being_deleted' failed in
+# multi_delete::send_data on DELETE w/ index hint + window function
+#
+CREATE TABLE t1 (c INT PRIMARY KEY);
+INSERT INTO t1 (c) VALUES (1),(2),(3),(4);
+DELETE FROM t1 USE KEY() WHERE 0
+ORDER BY PERCENTILE_CONT(COUNT(*)) WITHIN GROUP(ORDER BY c) OVER();
+DROP TABLE t1;
+#
 # End 11.8 tests
 #
diff --git a/mysql-test/main/delete_multi_order_by.test b/mysql-test/main/delete_multi_order_by.test
index c2c2b28155353..a57b6b9144c2f 100644
--- a/mysql-test/main/delete_multi_order_by.test
+++ b/mysql-test/main/delete_multi_order_by.test
@@ -228,6 +228,16 @@ DELETE FROM a3,a1 USING t1 AS a1 JOIN t1 AS a2 JOIN t1 AS a3;
 SELECT COUNT(*) from t1;
 DROP TABLE t1;
 
+--echo #
+--echo # MDEV-40573 Assertion `del_table == table_being_deleted' failed in
+--echo # multi_delete::send_data on DELETE w/ index hint + window function
+--echo #
+CREATE TABLE t1 (c INT PRIMARY KEY);
+INSERT INTO t1 (c) VALUES (1),(2),(3),(4);
+DELETE FROM t1 USE KEY() WHERE 0
+  ORDER BY PERCENTILE_CONT(COUNT(*)) WITHIN GROUP(ORDER BY c) OVER();
+DROP TABLE t1;
+
 --echo #
 --echo # End 11.8 tests
 --echo #
diff --git a/sql/sql_class.h b/sql/sql_class.h
index 5ca2eac6f4403..788f88023e0f7 100644
--- a/sql/sql_class.h
+++ b/sql/sql_class.h
@@ -7717,6 +7717,7 @@ class multi_delete :public select_result_interceptor
   /* True if at least one table we delete from is not transactional */
   bool normal_tables;
   bool delete_while_scanning;
+  bool tables_initialized;
   /*
      error handling (rollback and binlogging) can happen in send_eof()
      so that afterward abort_result_set() needs to find out that.
diff --git a/sql/sql_delete.cc b/sql/sql_delete.cc
index 37495077b74f5..dbb9e31d689f1 100644
--- a/sql/sql_delete.cc
+++ b/sql/sql_delete.cc
@@ -1165,6 +1165,7 @@ multi_delete::multi_delete(THD *thd_arg,
     do_delete(0),
     transactional_tables(0),
     normal_tables(0),
+    tables_initialized(false),
     error_handled(0)
 {
   tmp_tables = thd->calloc<TABLE*>(table_count);
@@ -1355,6 +1356,7 @@ multi_delete::initialize_tables(JOIN *join)
     DBUG_RETURN(true);
 
   join->tmp_table_keep_current_rowid= TRUE;
+  tables_initialized= true;
   DBUG_RETURN(thd->is_fatal_error);
 }
 
@@ -1386,6 +1388,9 @@ multi_delete::~multi_delete()
 
 int multi_delete::send_data(List<Item> &values)
 {
+  if (!tables_initialized)
+    return 0;
+
   int secure_counter= delete_while_scanning ? -1 : 0;
   TABLE_LIST *del_table;
   DBUG_ENTER("multi_delete::send_data");