diff --git a/pkg/sql/logictest/testdata/logic_test/mixed_version_external_connections_owner_id b/pkg/sql/logictest/testdata/logic_test/mixed_version_external_connections_owner_id
index 5c1f9514a473..6fd2a1762935 100644
--- a/pkg/sql/logictest/testdata/logic_test/mixed_version_external_connections_owner_id
+++ b/pkg/sql/logictest/testdata/logic_test/mixed_version_external_connections_owner_id
@@ -29,11 +29,14 @@ connection1  t
 connection2  t
 
 # Wait for migrations to run and verify that owner_id column is now present.
+# The sleep directive is needed to reduce flakiness.
 
 upgrade 0
 
 upgrade 2
 
+sleep 10s
+
 query B retry
 SELECT crdb_internal.is_at_least_version('1000022.2-76')
 ----
diff --git a/pkg/sql/logictest/testdata/logic_test/mixed_version_role_members_user_ids b/pkg/sql/logictest/testdata/logic_test/mixed_version_role_members_user_ids
index 6f609e5ea94f..a80f2e7353a4 100644
--- a/pkg/sql/logictest/testdata/logic_test/mixed_version_role_members_user_ids
+++ b/pkg/sql/logictest/testdata/logic_test/mixed_version_role_members_user_ids
@@ -110,6 +110,7 @@ SELECT crdb_internal.node_executable_version() SIMILAR TO '1000022.2-%'
 true
 
 # Wait for migrations to run.
+# The sleep directive is needed to reduce flakiness.
 
 sleep 10s