diff --git a/testsuite/MDAnalysisTests/coordinates/test_dms.py b/testsuite/MDAnalysisTests/coordinates/test_dms.py
index e4d9ac1ee6..12cf969a79 100644
--- a/testsuite/MDAnalysisTests/coordinates/test_dms.py
+++ b/testsuite/MDAnalysisTests/coordinates/test_dms.py
@@ -93,3 +93,13 @@ def test_frame_index_0(self, universe):
     def test_frame_index_1_raises_IndexError(self, universe):
         with pytest.raises(IndexError):
             universe.trajectory[1]
+
+    def test_convert_pos_from_native(self):
+        u_native = mda.Universe(DMS, convert_units=False)
+        u_conv = mda.Universe(DMS, convert_units=True)
+
+        np.testing.assert_allclose(
+            u_conv.atoms.positions,
+            u_native.atoms.positions,
+            rtol=1e-6,
+        )