diff --git a/dvc/testing/remote_tests.py b/dvc/testing/remote_tests.py
index 49a57fd2a..b47d6e1f0 100644
--- a/dvc/testing/remote_tests.py
+++ b/dvc/testing/remote_tests.py
@@ -215,6 +215,7 @@ class TestRemoteVersionAware:
             }
         )
 
+        assert not dvc.fetch()
         assert dvc.push()
 
         data_dir_dvc = (tmp_dir / "data_dir.dvc").read_text()
diff --git a/pyproject.toml b/pyproject.toml
index 83b97cdfe..397157942 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -35,7 +35,7 @@ dependencies = [
     "configobj>=5.0.6",
     "distro>=1.3",
     "dpath<3,>=2.1.0",
-    "dvc-data>=3.2,<3.3",
+    "dvc-data>=3.3,<3.4",
     "dvc-http>=2.29.0",
     "dvc-render>=1.0.0,<2",
     "dvc-studio-client>=0.17.1,<1",