diff --git a/tests/ert/ui_tests/cli/analysis/test_adaptive_localization.py b/tests/ert/ui_tests/cli/analysis/test_adaptive_localization.py
index 51b77e827c8..e720712627e 100644
--- a/tests/ert/ui_tests/cli/analysis/test_adaptive_localization.py
+++ b/tests/ert/ui_tests/cli/analysis/test_adaptive_localization.py
@@ -250,7 +250,7 @@ def test_that_adaptive_localization_with_cutoff_0_equals_ESupdate():
     ]
 
     # Check posterior sample without adaptive localization and with cut-off 0 are equal
-    assert np.allclose(posterior_sample_loc0, posterior_sample_noloc)
+    assert np.allclose(posterior_sample_loc0, posterior_sample_noloc, atol=1e-6)
 
 
 @pytest.mark.usefixtures("copy_poly_case")