diff --git a/storage/postgres/integration_test.go b/storage/postgres/integration_test.go
index 793f93c..312e8a1 100644
--- a/storage/postgres/integration_test.go
+++ b/storage/postgres/integration_test.go
@@ -617,6 +617,10 @@ func TestEncodedStorageRoundTrips(t *testing.T) {
 	if claims, err := b.DequeueBatch(ctx, "go", 10, 0, nil); err != nil || len(claims) != 0 {
 		t.Fatalf("plain claim took %d, %v", len(claims), err)
 	}
+	// No encodings claim nothing, even with an activity waiting.
+	if none, err := b.DequeueBatchEncoded(ctx, "ts", 10, 0, nil, nil); err != nil || len(none) != 0 {
+		t.Fatalf("no encodings claimed %d, %v", len(none), err)
+	}
 	claims, err := b.DequeueBatchEncoded(ctx, "ts", 10, 0, nil, []string{"json-v1", "superjson-v1"})
 	if err != nil || len(claims) != 1 {
 		t.Fatalf("encoded claim: %d, %v", len(claims), err)
@@ -625,11 +629,6 @@ func TestEncodedStorageRoundTrips(t *testing.T) {
 	if c.Activity.ID != native.ID || c.Activity.Serialization != "superjson-v1" {
 		t.Fatalf("claimed %+v", c.Activity)
 	}
-	// Only the encodings asked for: none claims nothing, and plain JSON isn't
-	// implied.
-	if none, err := b.DequeueBatchEncoded(ctx, "ts", 10, 0, nil, nil); err != nil || len(none) != 0 {
-		t.Fatalf("no encodings claimed %d, %v", len(none), err)
-	}
 
 	checkpoint := uuid.New()
 	step := storage.ActivityResult{Data: json.RawMessage(`{"json":1}`), State: storage.ResultOk, Serialization: "superjson-v1"}