diff --git a/tests/test_regression_against_cases.py b/tests/test_regression_against_cases.py
index 1fad8ea6..0cf23d6e 100644
--- a/tests/test_regression_against_cases.py
+++ b/tests/test_regression_against_cases.py
@@ -24,7 +24,7 @@ def test_regression_against_case(case: Path):
     reference_dataset = read_dataset_from_netcdf(Path(__file__).parent / "regression_results" / f"{case_name}_result.nc").load()
 
     dataset, reference_dataset = xr.align(dataset, reference_dataset)
-    assert_allclose(dataset, reference_dataset, rtol=1e-8, atol=0)
+    assert_allclose(dataset, reference_dataset, rtol=1e-6, atol=0)
 
 
 @pytest.mark.parametrize("case", ALL_CASE_PATHS, ids=ALL_CASE_NAMES)
@@ -41,4 +41,4 @@ def test_regression_against_case_with_update(case: Path):
     reference_dataset = read_dataset_from_netcdf(Path(__file__).parent / "regression_results" / f"{case_name}_result.nc").load()
 
     dataset, reference_dataset = xr.align(dataset, reference_dataset)
-    assert_allclose(dataset, reference_dataset, rtol=1e-8, atol=0)
+    assert_allclose(dataset, reference_dataset, rtol=1e-6, atol=0)