diff --git a/tests/unit_tests/analysis/test_adaptive_localization.py b/tests/unit_tests/analysis/test_adaptive_localization.py
index f8e7533e25a..1f0f976f75d 100644
--- a/tests/unit_tests/analysis/test_adaptive_localization.py
+++ b/tests/unit_tests/analysis/test_adaptive_localization.py
@@ -62,7 +62,7 @@ def test_that_adaptive_localization_with_cutoff_1_equals_ensemble_prior(copy_cas
     prior_sample, posterior_sample = run_cli_ES_with_case("poly_loc_1.ert")
 
     # Check prior and posterior samples are equal
-    assert np.array_equal(posterior_sample, prior_sample)
+    assert np.allclose(posterior_sample, prior_sample)
 
 
 @pytest.mark.integration_test
@@ -97,4 +97,4 @@ def test_that_adaptive_localization_with_cutoff_0_equals_ESupdate(copy_case):
     prior_sample_noloc, posterior_sample_noloc = run_cli_ES_with_case("poly_no_loc.ert")
 
     # Check posterior sample without adaptive localization and with cut-off 0 are equal
-    assert np.allclose(posterior_sample_loc0, posterior_sample_noloc, rtol=1e-08, atol=1e-08)
+    assert np.allclose(posterior_sample_loc0, posterior_sample_noloc)