diff --git a/tests/qtest/migration-test.c b/tests/qtest/migration-test.c
index d4ab3934ed..75d4f1d4a9 100644
--- a/tests/qtest/migration-test.c
+++ b/tests/qtest/migration-test.c
@@ -408,8 +408,8 @@ static void migrate_set_parameter_str(QTestState *who, const char *parameter,
 
 static void migrate_ensure_non_converge(QTestState *who)
 {
-    /* Can't converge with 1ms downtime + 30 mbs bandwidth limit */
-    migrate_set_parameter_int(who, "max-bandwidth", 30 * 1000 * 1000);
+    /* Can't converge with 1ms downtime + 3 mbs bandwidth limit */
+    migrate_set_parameter_int(who, "max-bandwidth", 3 * 1000 * 1000);
     migrate_set_parameter_int(who, "downtime-limit", 1);
 }
 
@@ -1808,7 +1808,7 @@ static void test_migrate_auto_converge(void)
      * E.g., with 1Gb/s bandwith migration may pass without throttling,
      * so we need to decrease a bandwidth.
      */
-    const int64_t init_pct = 5, inc_pct = 50, max_pct = 95;
+    const int64_t init_pct = 5, inc_pct = 25, max_pct = 95;
 
     if (test_migrate_start(&from, &to, uri, &args)) {
         return;
@@ -1835,13 +1835,16 @@ static void test_migrate_auto_converge(void)
 
     /* Wait for throttling begins */
     percentage = 0;
-    while (percentage == 0) {
+    do {
         percentage = read_migrate_property_int(from, "cpu-throttle-percentage");
-        usleep(100);
+        if (percentage != 0) {
+            break;
+        }
+        usleep(20);
         g_assert_false(got_stop);
-    }
-    /* The first percentage of throttling should be equal to init_pct */
-    g_assert_cmpint(percentage, ==, init_pct);
+    } while (true);
+    /* The first percentage of throttling should be at least init_pct */
+    g_assert_cmpint(percentage, >=, init_pct);
     /* Now, when we tested that throttling works, let it converge */
     migrate_ensure_converge(from);