diff --git a/tests/qtest/migration-test.c b/tests/qtest/migration-test.c
index 5600b6d46a..71595a74fd 100644
--- a/tests/qtest/migration-test.c
+++ b/tests/qtest/migration-test.c
@@ -576,6 +576,7 @@ typedef struct {
 
     /* Postcopy specific fields */
     void *postcopy_data;
+    bool postcopy_preempt;
 } MigrateCommon;
 
 static int test_migrate_start(QTestState **from, QTestState **to,
@@ -1081,6 +1082,11 @@ static int migrate_postcopy_prepare(QTestState **from_ptr,
     migrate_set_capability(to, "postcopy-ram", true);
     migrate_set_capability(to, "postcopy-blocktime", true);
 
+    if (args->postcopy_preempt) {
+        migrate_set_capability(from, "postcopy-preempt", true);
+        migrate_set_capability(to, "postcopy-preempt", true);
+    }
+
     migrate_ensure_non_converge(from);
 
     /* Wait for the first serial output from the source */
@@ -1134,6 +1140,15 @@ static void test_postcopy(void)
     test_postcopy_common(&args);
 }
 
+static void test_postcopy_preempt(void)
+{
+    MigrateCommon args = {
+        .postcopy_preempt = true,
+    };
+
+    test_postcopy_common(&args);
+}
+
 #ifdef CONFIG_GNUTLS
 static void test_postcopy_tls_psk(void)
 {
@@ -1144,6 +1159,17 @@ static void test_postcopy_tls_psk(void)
 
     test_postcopy_common(&args);
 }
+
+static void test_postcopy_preempt_tls_psk(void)
+{
+    MigrateCommon args = {
+        .postcopy_preempt = true,
+        .start_hook = test_migrate_tls_psk_start_match,
+        .finish_hook = test_migrate_tls_psk_finish,
+    };
+
+    test_postcopy_common(&args);
+}
 #endif
 
 static void test_postcopy_recovery_common(MigrateCommon *args)
@@ -1227,6 +1253,29 @@ static void test_postcopy_recovery_tls_psk(void)
 }
 #endif
 
+static void test_postcopy_preempt_recovery(void)
+{
+    MigrateCommon args = {
+        .postcopy_preempt = true,
+    };
+
+    test_postcopy_recovery_common(&args);
+}
+
+#ifdef CONFIG_GNUTLS
+/* This contains preempt+recovery+tls test altogether */
+static void test_postcopy_preempt_all(void)
+{
+    MigrateCommon args = {
+        .postcopy_preempt = true,
+        .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 = {
@@ -2427,10 +2476,12 @@ 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/plain", test_postcopy);
     qtest_add_func("/migration/postcopy/recovery/plain",
                    test_postcopy_recovery);
-
-    qtest_add_func("/migration/postcopy/plain", test_postcopy);
+    qtest_add_func("/migration/postcopy/preempt/plain", test_postcopy_preempt);
+    qtest_add_func("/migration/postcopy/preempt/recovery/plain",
+                    test_postcopy_preempt_recovery);
 
     qtest_add_func("/migration/bad_dest", test_baddest);
     qtest_add_func("/migration/precopy/unix/plain", test_precopy_unix_plain);
@@ -2446,6 +2497,10 @@ int main(int argc, char **argv)
     qtest_add_func("/migration/postcopy/tls/psk", test_postcopy_tls_psk);
     qtest_add_func("/migration/postcopy/recovery/tls/psk",
                    test_postcopy_recovery_tls_psk);
+    qtest_add_func("/migration/postcopy/preempt/tls/psk",
+                   test_postcopy_preempt_tls_psk);
+    qtest_add_func("/migration/postcopy/preempt/recovery/tls/psk",
+                   test_postcopy_preempt_all);
 #ifdef CONFIG_TASN1
     qtest_add_func("/migration/precopy/unix/tls/x509/default-host",
                    test_precopy_unix_tls_x509_default_host);