diff --git a/tests/qtest/migration-test.c b/tests/qtest/migration-test.c
index a1dc08a93e..f551c8d030 100644
--- a/tests/qtest/migration-test.c
+++ b/tests/qtest/migration-test.c
@@ -1740,26 +1740,12 @@ static void test_migrate_auto_converge(void)
     test_migrate_end(from, to, true);
 }
 
-static void test_multifd_tcp(const char *method)
+static void *
+test_migrate_precopy_tcp_multifd_start_common(QTestState *from,
+                                              QTestState *to,
+                                              const char *method)
 {
-    MigrateStart args = {};
-    QTestState *from, *to;
     QDict *rsp;
-    g_autofree char *uri = NULL;
-
-    if (test_migrate_start(&from, &to, "defer", &args)) {
-        return;
-    }
-
-    /*
-     * We want to pick a speed slow enough that the test completes
-     * quickly, but that it doesn't complete precopy even on a slow
-     * machine, so also set the downtime.
-     */
-    /* 1 ms should make it not converge*/
-    migrate_set_parameter_int(from, "downtime-limit", 1);
-    /* 1GB/s */
-    migrate_set_parameter_int(from, "max-bandwidth", 1000000000);
 
     migrate_set_parameter_int(from, "multifd-channels", 16);
     migrate_set_parameter_int(to, "multifd-channels", 16);
@@ -1775,41 +1761,58 @@ static void test_multifd_tcp(const char *method)
                            "  'arguments': { 'uri': 'tcp:127.0.0.1:0' }}");
     qobject_unref(rsp);
 
-    /* Wait for the first serial output from the source */
-    wait_for_serial("src_serial");
-
-    uri = migrate_get_socket_address(to, "socket-address");
-
-    migrate_qmp(from, uri, "{}");
-
-    wait_for_migration_pass(from);
-
-    migrate_set_parameter_int(from, "downtime-limit", CONVERGE_DOWNTIME);
-
-    if (!got_stop) {
-        qtest_qmp_eventwait(from, "STOP");
-    }
-    qtest_qmp_eventwait(to, "RESUME");
-
-    wait_for_serial("dest_serial");
-    wait_for_migration_complete(from);
-    test_migrate_end(from, to, true);
+    return NULL;
 }
 
+static void *
+test_migrate_precopy_tcp_multifd_start(QTestState *from,
+                                       QTestState *to)
+{
+    return test_migrate_precopy_tcp_multifd_start_common(from, to, "none");
+}
+
+static void *
+test_migrate_precopy_tcp_multifd_zlib_start(QTestState *from,
+                                            QTestState *to)
+{
+    return test_migrate_precopy_tcp_multifd_start_common(from, to, "zlib");
+}
+
+#ifdef CONFIG_ZSTD
+static void *
+test_migrate_precopy_tcp_multifd_zstd_start(QTestState *from,
+                                            QTestState *to)
+{
+    return test_migrate_precopy_tcp_multifd_start_common(from, to, "zstd");
+}
+#endif /* CONFIG_ZSTD */
+
 static void test_multifd_tcp_none(void)
 {
-    test_multifd_tcp("none");
+    MigrateCommon args = {
+        .listen_uri = "defer",
+        .start_hook = test_migrate_precopy_tcp_multifd_start,
+    };
+    test_precopy_common(&args);
 }
 
 static void test_multifd_tcp_zlib(void)
 {
-    test_multifd_tcp("zlib");
+    MigrateCommon args = {
+        .listen_uri = "defer",
+        .start_hook = test_migrate_precopy_tcp_multifd_zlib_start,
+    };
+    test_precopy_common(&args);
 }
 
 #ifdef CONFIG_ZSTD
 static void test_multifd_tcp_zstd(void)
 {
-    test_multifd_tcp("zstd");
+    MigrateCommon args = {
+        .listen_uri = "defer",
+        .start_hook = test_migrate_precopy_tcp_multifd_zstd_start,
+    };
+    test_precopy_common(&args);
 }
 #endif