diff --git a/tests/qtest/migration/compression-tests.c b/tests/qtest/migration/compression-tests.c
index 41e79f031b..a788a8d4a7 100644
--- a/tests/qtest/migration/compression-tests.c
+++ b/tests/qtest/migration/compression-tests.c
@@ -42,6 +42,20 @@ static void test_multifd_tcp_zstd(void)
     };
     test_precopy_common(&args);
 }
+
+static void test_multifd_postcopy_tcp_zstd(void)
+{
+    MigrateCommon args = {
+        .listen_uri = "defer",
+        .start = {
+            .caps[MIGRATION_CAPABILITY_MULTIFD] = true,
+            .caps[MIGRATION_CAPABILITY_POSTCOPY_RAM] = true,
+        },
+        .start_hook = migrate_hook_start_precopy_tcp_multifd_zstd,
+    };
+
+    test_precopy_common(&args);
+}
 #endif /* CONFIG_ZSTD */
 
 #ifdef CONFIG_QATZIP
@@ -184,6 +198,8 @@ void migration_test_add_compression(MigrationTestEnv *env)
 #ifdef CONFIG_ZSTD
     migration_test_add("/migration/multifd/tcp/plain/zstd",
                        test_multifd_tcp_zstd);
+    migration_test_add("/migration/multifd+postcopy/tcp/plain/zstd",
+                       test_multifd_postcopy_tcp_zstd);
 #endif
 
 #ifdef CONFIG_QATZIP
diff --git a/tests/qtest/migration/postcopy-tests.c b/tests/qtest/migration/postcopy-tests.c
index 483e3ff99f..eb637f94f7 100644
--- a/tests/qtest/migration/postcopy-tests.c
+++ b/tests/qtest/migration/postcopy-tests.c
@@ -94,6 +94,29 @@ static void migration_test_add_postcopy_smoke(MigrationTestEnv *env)
     }
 }
 
+static void test_multifd_postcopy(void)
+{
+    MigrateCommon args = {
+        .start = {
+            .caps[MIGRATION_CAPABILITY_MULTIFD] = true,
+        },
+    };
+
+    test_postcopy_common(&args);
+}
+
+static void test_multifd_postcopy_preempt(void)
+{
+    MigrateCommon args = {
+        .start = {
+            .caps[MIGRATION_CAPABILITY_MULTIFD] = true,
+            .caps[MIGRATION_CAPABILITY_POSTCOPY_PREEMPT] = true,
+        },
+    };
+
+    test_postcopy_common(&args);
+}
+
 void migration_test_add_postcopy(MigrationTestEnv *env)
 {
     migration_test_add_postcopy_smoke(env);
@@ -114,6 +137,10 @@ void migration_test_add_postcopy(MigrationTestEnv *env)
             "/migration/postcopy/recovery/double-failures/reconnect",
             test_postcopy_recovery_fail_reconnect);
 
+        migration_test_add("/migration/postcopy/multifd/plain",
+                           test_multifd_postcopy);
+        migration_test_add("/migration/postcopy/multifd/preempt/plain",
+                           test_multifd_postcopy_preempt);
         if (env->is_x86) {
             migration_test_add("/migration/postcopy/suspend",
                                test_postcopy_suspend);
diff --git a/tests/qtest/migration/precopy-tests.c b/tests/qtest/migration/precopy-tests.c
index f8404793b8..b2b0db8076 100644
--- a/tests/qtest/migration/precopy-tests.c
+++ b/tests/qtest/migration/precopy-tests.c
@@ -34,6 +34,7 @@
 #define DIRTYLIMIT_TOLERANCE_RANGE  25  /* MB/s */
 
 static char *tmpfs;
+static bool postcopy_ram = false;
 
 static void test_precopy_unix_plain(void)
 {
@@ -476,6 +477,11 @@ static void test_multifd_tcp_cancel(void)
     migrate_ensure_non_converge(from);
     migrate_prepare_for_dirty_mem(from);
 
+    if (postcopy_ram) {
+        migrate_set_capability(from, "postcopy-ram", true);
+        migrate_set_capability(to, "postcopy-ram", true);
+    }
+
     migrate_set_parameter_int(from, "multifd-channels", 16);
     migrate_set_parameter_int(to, "multifd-channels", 16);
 
@@ -517,6 +523,10 @@ static void test_multifd_tcp_cancel(void)
         return;
     }
 
+    if (postcopy_ram) {
+        migrate_set_capability(to2, "postcopy-ram", true);
+    }
+
     migrate_set_parameter_int(to2, "multifd-channels", 16);
 
     migrate_set_capability(to2, "multifd", true);
@@ -540,6 +550,13 @@ static void test_multifd_tcp_cancel(void)
     migrate_end(from, to2, true);
 }
 
+static void test_multifd_postcopy_tcp_cancel(void)
+{
+    postcopy_ram = true;
+    test_multifd_tcp_cancel();
+    postcopy_ram = false;
+}
+
 static void test_cancel_src_after_failed(QTestState *from, QTestState *to,
                                          const char *uri, const char *phase)
 {
@@ -1127,6 +1144,8 @@ static void migration_test_add_precopy_smoke(MigrationTestEnv *env)
                        test_multifd_tcp_uri_none);
     migration_test_add("/migration/multifd/tcp/plain/cancel",
                        test_multifd_tcp_cancel);
+    migration_test_add("/migration/multifd+postcopy/tcp/plain/cancel",
+                       test_multifd_postcopy_tcp_cancel);
 }
 
 void migration_test_add_precopy(MigrationTestEnv *env)
diff --git a/tests/qtest/migration/tls-tests.c b/tests/qtest/migration/tls-tests.c
index 72f44defbb..54581e182f 100644
--- a/tests/qtest/migration/tls-tests.c
+++ b/tests/qtest/migration/tls-tests.c
@@ -395,6 +395,19 @@ static void test_postcopy_recovery_tls_psk(void)
     test_postcopy_recovery_common(&args);
 }
 
+static void test_multifd_postcopy_recovery_tls_psk(void)
+{
+    MigrateCommon args = {
+        .start_hook = migrate_hook_start_tls_psk_match,
+        .end_hook = migrate_hook_end_tls_psk,
+        .start = {
+            .caps[MIGRATION_CAPABILITY_MULTIFD] = true,
+        },
+    };
+
+    test_postcopy_recovery_common(&args);
+}
+
 /* This contains preempt+recovery+tls test altogether */
 static void test_postcopy_preempt_all(void)
 {
@@ -409,6 +422,19 @@ static void test_postcopy_preempt_all(void)
     test_postcopy_recovery_common(&args);
 }
 
+static void test_multifd_postcopy_preempt_recovery_tls_psk(void)
+{
+    MigrateCommon args = {
+        .start_hook = migrate_hook_start_tls_psk_match,
+        .end_hook = migrate_hook_end_tls_psk,
+        .start = {
+            .caps[MIGRATION_CAPABILITY_MULTIFD] = true,
+        },
+    };
+
+    test_postcopy_recovery_common(&args);
+}
+
 static void test_precopy_unix_tls_psk(void)
 {
     g_autofree char *uri = g_strdup_printf("unix:%s/migsocket", tmpfs);
@@ -657,6 +683,21 @@ static void test_multifd_tcp_tls_psk_mismatch(void)
     test_precopy_common(&args);
 }
 
+static void test_multifd_postcopy_tcp_tls_psk_match(void)
+{
+    MigrateCommon args = {
+        .start = {
+            .caps[MIGRATION_CAPABILITY_MULTIFD] = true,
+            .caps[MIGRATION_CAPABILITY_POSTCOPY_RAM] = true,
+        },
+        .listen_uri = "defer",
+        .start_hook = migrate_hook_start_multifd_tcp_tls_psk_match,
+        .end_hook = migrate_hook_end_tls_psk,
+    };
+
+    test_precopy_common(&args);
+}
+
 #ifdef CONFIG_TASN1
 static void test_multifd_tcp_tls_x509_default_host(void)
 {
@@ -774,6 +815,10 @@ void migration_test_add_tls(MigrationTestEnv *env)
                            test_postcopy_preempt_tls_psk);
         migration_test_add("/migration/postcopy/preempt/recovery/tls/psk",
                            test_postcopy_preempt_all);
+        migration_test_add("/migration/postcopy/multifd/recovery/tls/psk",
+                           test_multifd_postcopy_recovery_tls_psk);
+        migration_test_add("/migration/postcopy/multifd/preempt/recovery/tls/psk",
+                           test_multifd_postcopy_preempt_recovery_tls_psk);
     }
 #ifdef CONFIG_TASN1
     migration_test_add("/migration/precopy/unix/tls/x509/default-host",
@@ -805,6 +850,8 @@ void migration_test_add_tls(MigrationTestEnv *env)
                        test_multifd_tcp_tls_psk_match);
     migration_test_add("/migration/multifd/tcp/tls/psk/mismatch",
                        test_multifd_tcp_tls_psk_mismatch);
+    migration_test_add("/migration/multifd+postcopy/tcp/tls/psk/match",
+                       test_multifd_postcopy_tcp_tls_psk_match);
 #ifdef CONFIG_TASN1
     migration_test_add("/migration/multifd/tcp/tls/x509/default-host",
                        test_multifd_tcp_tls_x509_default_host);
