diff --git a/tests/qtest/migration-test.c b/tests/qtest/migration-test.c
index 3b615b0da9..60dd53d3ec 100644
--- a/tests/qtest/migration-test.c
+++ b/tests/qtest/migration-test.c
@@ -1796,6 +1796,21 @@ static void test_validate_uuid_dst_not_set(void)
     do_test_validate_uuid(&args, false);
 }
 
+/*
+ * The way auto_converge works, we need to do too many passes to
+ * run this test.  Auto_converge logic is only run once every
+ * three iterations, so:
+ *
+ * - 3 iterations without auto_converge enabled
+ * - 3 iterations with pct = 5
+ * - 3 iterations with pct = 30
+ * - 3 iterations with pct = 55
+ * - 3 iterations with pct = 80
+ * - 3 iterations with pct = 95 (max(95, 80 + 25))
+ *
+ * To make things even worse, we need to run the initial stage at
+ * 3MB/s so we enter autoconverge even when host is (over)loaded.
+ */
 static void test_migrate_auto_converge(void)
 {
     g_autofree char *uri = g_strdup_printf("unix:%s/migsocket", tmpfs);
@@ -2575,8 +2590,12 @@ int main(int argc, char **argv)
                    test_validate_uuid_src_not_set);
     qtest_add_func("/migration/validate_uuid_dst_not_set",
                    test_validate_uuid_dst_not_set);
-
-    qtest_add_func("/migration/auto_converge", test_migrate_auto_converge);
+    /*
+     * See explanation why this test is slow on function definition
+     */
+    if (g_test_slow()) {
+        qtest_add_func("/migration/auto_converge", test_migrate_auto_converge);
+    }
     qtest_add_func("/migration/multifd/tcp/plain/none",
                    test_multifd_tcp_none);
     /*