diff --git a/mysql-test/r/join_outer_innodb.result b/mysql-test/r/join_outer_innodb.result
index e8a2d6f668b..7f6d4fb8553 100644
--- a/mysql-test/r/join_outer_innodb.result
+++ b/mysql-test/r/join_outer_innodb.result
@@ -17,3 +17,38 @@ id	select_type	table	type	possible_keys	key	key_len	ref	rows	Extra
 1	SIMPLE	t2	index	NULL	fkey	5	NULL	5	Using index
 1	SIMPLE	t1	eq_ref	PRIMARY	PRIMARY	4	test.t2.fkey	1	Using where
 DROP TABLE t1,t2;
+#
+# BUG#58456: Assertion 0 in QUICK_INDEX_MERGE_SELECT::need_sorted_output
+#            in opt_range.h
+#
+CREATE TABLE t1 (
+col_int INT,
+col_int_key INT,
+pk INT NOT NULL,
+PRIMARY KEY (pk),
+KEY col_int_key (col_int_key)
+) ENGINE=InnoDB;
+INSERT INTO t1 VALUES (NULL,1,1), (6,2,2), (5,3,3), (NULL,4,4);
+INSERT INTO t1 VALUES (1,NULL,6), (8,5,7), (NULL,8,8), (8,NULL,5);
+CREATE TABLE t2 (
+pk INT PRIMARY KEY
+) ENGINE=InnoDB;
+
+EXPLAIN SELECT t1.pk
+FROM t2 LEFT JOIN t1 ON t2.pk = t1.col_int
+WHERE t1.col_int_key BETWEEN 5 AND 6 
+AND t1.pk IS NULL OR t1.pk IN (5)
+ORDER BY pk;
+id	select_type	table	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	const	PRIMARY,col_int_key	PRIMARY	4	const	2	Using where
+1	SIMPLE	t2	eq_ref	PRIMARY	PRIMARY	4	test.t1.col_int	1	Using index
+
+SELECT t1.pk
+FROM t2 LEFT JOIN t1 ON t2.pk = t1.col_int
+WHERE t1.col_int_key BETWEEN 5 AND 6 
+AND t1.pk IS NULL OR t1.pk IN (5)
+ORDER BY pk;
+pk
+
+DROP TABLE t1,t2;
+# End BUG#58456
diff --git a/mysql-test/t/join_outer_innodb.test b/mysql-test/t/join_outer_innodb.test
index 40add7f488f..0d47c4ea57b 100644
--- a/mysql-test/t/join_outer_innodb.test
+++ b/mysql-test/t/join_outer_innodb.test
@@ -24,3 +24,40 @@ SELECT COUNT(*) FROM t2 LEFT JOIN t1 ON t2.fkey = t1.id
   WHERE t1.name LIKE 'A%' OR FALSE;
 
 DROP TABLE t1,t2;
+
+--echo #
+--echo # BUG#58456: Assertion 0 in QUICK_INDEX_MERGE_SELECT::need_sorted_output
+--echo #            in opt_range.h
+--echo #
+
+CREATE TABLE t1 (
+  col_int INT,
+  col_int_key INT,
+  pk INT NOT NULL,
+  PRIMARY KEY (pk),
+  KEY col_int_key (col_int_key)
+) ENGINE=InnoDB;
+
+INSERT INTO t1 VALUES (NULL,1,1), (6,2,2), (5,3,3), (NULL,4,4);
+INSERT INTO t1 VALUES (1,NULL,6), (8,5,7), (NULL,8,8), (8,NULL,5);
+
+CREATE TABLE t2 (
+  pk INT PRIMARY KEY
+) ENGINE=InnoDB;
+
+let $query=
+SELECT t1.pk
+FROM t2 LEFT JOIN t1 ON t2.pk = t1.col_int
+WHERE t1.col_int_key BETWEEN 5 AND 6 
+      AND t1.pk IS NULL OR t1.pk IN (5)
+ORDER BY pk;
+
+--echo
+--eval EXPLAIN $query
+--echo
+--eval $query
+--echo
+
+DROP TABLE t1,t2;
+
+--echo # End BUG#58456
diff --git a/sql/sql_select.cc b/sql/sql_select.cc
index e5d574192b1..90a8727c56c 100644
--- a/sql/sql_select.cc
+++ b/sql/sql_select.cc
@@ -6499,10 +6499,12 @@ make_join_select(JOIN *join,SQL_SELECT *select,COND *cond)
 	{
 	  /* Use quick key read if it's a constant and it's not used
 	     with key reading */
-	  if (tab->needed_reg.is_clear_all() && tab->type != JT_EQ_REF
-	      && tab->type != JT_FT && (tab->type != JT_REF ||
-               (uint) tab->ref.key == tab->quick->index))
-	  {
+          if (tab->needed_reg.is_clear_all() && tab->type != JT_EQ_REF &&
+              tab->type != JT_FT &&
+              ((tab->type != JT_CONST && tab->type != JT_REF) ||
+               (uint)tab->ref.key == tab->quick->index))
+          {
+            DBUG_ASSERT(tab->quick->index != MAX_KEY);
 	    sel->quick=tab->quick;		// Use value from get_quick_...
 	    sel->quick_keys.clear_all();
 	    sel->needed_reg.clear_all();
@@ -13857,7 +13859,7 @@ check_reverse_order:
   SYNOPSIS
    create_sort_index()
      thd		Thread handler
-     tab		Table to sort (in join structure)
+     join		Join with table to sort
      order		How table should be sorted
      filesort_limit	Max number of rows that needs to be sorted
      select_limit	Max number of rows in final output
@@ -13867,8 +13869,8 @@ check_reverse_order:
 
 
   IMPLEMENTATION
-   - If there is an index that can be used, 'tab' is modified to use
-     this index.
+   - If there is an index that can be used, the first non-const join_tab in
+     'join' is modified to use this index.
    - If no index, create with filesort() an index file that can be used to
      retrieve rows in order (should be done with 'read_record').
      The sorted data is stored in tab->table and will be freed when calling