diff --git a/tests/qtest/migration-test.c b/tests/qtest/migration-test.c
index b2020ef6c5..5600b6d46a 100644
--- a/tests/qtest/migration-test.c
+++ b/tests/qtest/migration-test.c
@@ -1146,17 +1146,15 @@ static void test_postcopy_tls_psk(void)
 }
 #endif
 
-static void test_postcopy_recovery(void)
+static void test_postcopy_recovery_common(MigrateCommon *args)
 {
-    MigrateCommon args = {
-        .start = {
-            .hide_stderr = true,
-        },
-    };
     QTestState *from, *to;
     g_autofree char *uri = NULL;
 
-    if (migrate_postcopy_prepare(&from, &to, &args)) {
+    /* Always hide errors for postcopy recover tests since they're expected */
+    args->start.hide_stderr = true;
+
+    if (migrate_postcopy_prepare(&from, &to, args)) {
         return;
     }
 
@@ -1207,9 +1205,28 @@ static void test_postcopy_recovery(void)
     /* Restore the postcopy bandwidth to unlimited */
     migrate_set_parameter_int(from, "max-postcopy-bandwidth", 0);
 
-    migrate_postcopy_complete(from, to, &args);
+    migrate_postcopy_complete(from, to, args);
 }
 
+static void test_postcopy_recovery(void)
+{
+    MigrateCommon args = { };
+
+    test_postcopy_recovery_common(&args);
+}
+
+#ifdef CONFIG_GNUTLS
+static void test_postcopy_recovery_tls_psk(void)
+{
+    MigrateCommon args = {
+        .start_hook = test_migrate_tls_psk_start_match,
+        .finish_hook = test_migrate_tls_psk_finish,
+    };
+
+    test_postcopy_recovery_common(&args);
+}
+#endif
+
 static void test_baddest(void)
 {
     MigrateStart args = {
@@ -2410,7 +2427,9 @@ int main(int argc, char **argv)
     module_call_init(MODULE_INIT_QOM);
 
     qtest_add_func("/migration/postcopy/unix", test_postcopy);
-    qtest_add_func("/migration/postcopy/recovery", test_postcopy_recovery);
+    qtest_add_func("/migration/postcopy/recovery/plain",
+                   test_postcopy_recovery);
+
     qtest_add_func("/migration/postcopy/plain", test_postcopy);
 
     qtest_add_func("/migration/bad_dest", test_baddest);
@@ -2425,6 +2444,8 @@ int main(int argc, char **argv)
      * general postcopy path that has TLS channel enabled.
      */
     qtest_add_func("/migration/postcopy/tls/psk", test_postcopy_tls_psk);
+    qtest_add_func("/migration/postcopy/recovery/tls/psk",
+                   test_postcopy_recovery_tls_psk);
 #ifdef CONFIG_TASN1
     qtest_add_func("/migration/precopy/unix/tls/x509/default-host",
                    test_precopy_unix_tls_x509_default_host);