diff --git a/test/preflight/apps_v2_integration_test.go b/test/preflight/apps_v2_integration_test.go
index b3f8b75efc..bbdf9faeff 100644
--- a/test/preflight/apps_v2_integration_test.go
+++ b/test/preflight/apps_v2_integration_test.go
@@ -415,7 +415,19 @@ func TestLaunchDetach(t *testing.T) {
 	require.Contains(f, res.StdOutString(), "success")
 }
 
-func TestDeployDetach(t *testing.T) {
+func WithParallel(f func(*testing.T)) func(*testing.T) {
+	return func(t *testing.T) {
+		t.Parallel()
+		f(t)
+	}
+}
+
+func TestDeploy(t *testing.T) {
+	t.Run("Detach", WithParallel(testDeployDetach))
+	t.Run("DetachBatching", WithParallel(testDeployDetachBatching))
+}
+
+func testDeployDetach(t *testing.T) {
 	f := testlib.NewTestEnvFromEnv(t)
 	appName := f.CreateRandomAppName()
 
@@ -428,7 +440,7 @@ func TestDeployDetach(t *testing.T) {
 	require.Contains(f, res.StdOutString(), "started")
 }
 
-func TestDeployDetachBatching(t *testing.T) {
+func testDeployDetachBatching(t *testing.T) {
 	f := testlib.NewTestEnvFromEnv(t)
 	appName := f.CreateRandomAppName()
 
diff --git a/test/preflight/fly_postgres_test.go b/test/preflight/fly_postgres_test.go
index d1b28a78e9..111b8f1e03 100644
--- a/test/preflight/fly_postgres_test.go
+++ b/test/preflight/fly_postgres_test.go
@@ -176,7 +176,12 @@ func assertPostgresIsUp(tb testing.TB, f *testlib.FlyctlTestEnv, appName string)
 	assert.Equal(tb, 0, ssh.ExitCode(), "failed to connect to postgres at %s: %s", appName, ssh.StdErr())
 }
 
-func TestPostgres_ImportSuccess(t *testing.T) {
+func TestPostgresImport(t *testing.T) {
+	t.Run("Success", WithParallel(testPostgresImportSuccess))
+	t.Run("Failure", WithParallel(testPostgresImportFailure))
+}
+
+func testPostgresImportSuccess(t *testing.T) {
 	f := testlib.NewTestEnvFromEnv(t)
 
 	// Since this explicitly sets a size, no need to test on GPUs/alternate
@@ -188,14 +193,11 @@ func TestPostgres_ImportSuccess(t *testing.T) {
 	firstAppName := f.CreateRandomAppName()
 	secondAppName := f.CreateRandomAppName()
 
+	t.Logf("Create app_names table on %s", firstAppName)
 	f.Fly(
 		"pg create --org %s --name %s --region %s --initial-cluster-size 1 --vm-size %s --volume-size 1 --password x",
 		f.OrgSlug(), firstAppName, f.PrimaryRegion(), postgresMachineSize,
 	)
-	f.Fly(
-		"pg create --org %s --name %s --region %s --initial-cluster-size 1 --vm-size %s --volume-size 1",
-		f.OrgSlug(), secondAppName, f.PrimaryRegion(), postgresMachineSize,
-	)
 	assert.EventuallyWithT(t, func(c *assert.CollectT) {
 		assertPostgresIsUp(t, f, firstAppName)
 	}, 1*time.Minute, 10*time.Second)
@@ -209,6 +211,14 @@ func TestPostgres_ImportSuccess(t *testing.T) {
 		firstAppName, firstAppName,
 	)
 
+	t.Logf("Import from %s to %s", firstAppName, secondAppName)
+	f.Fly(
+		"pg create --org %s --name %s --region %s --initial-cluster-size 1 --vm-size %s --volume-size 1",
+		f.OrgSlug(), secondAppName, f.PrimaryRegion(), postgresMachineSize,
+	)
+	assert.EventuallyWithT(t, func(c *assert.CollectT) {
+		assertPostgresIsUp(t, f, secondAppName)
+	}, 1*time.Minute, 10*time.Second)
 	f.Fly(
 		"pg import -a %s --region %s --vm-size %s postgres://postgres:x@%s.internal/postgres",
 		secondAppName, f.PrimaryRegion(), postgresMachineSize, firstAppName,
@@ -227,7 +237,7 @@ func TestPostgres_ImportSuccess(t *testing.T) {
 	}, 2*time.Minute, 10*time.Second, "import machine not destroyed")
 }
 
-func TestPostgres_ImportFailure(t *testing.T) {
+func testPostgresImportFailure(t *testing.T) {
 	f := testlib.NewTestEnvFromEnv(t)
 
 	// Since this explicitly sets a size, no need to test on GPUs/alternate