diff --git a/tests/conftest.py b/tests/conftest.py
index a81b989..e28f01d 100644
--- a/tests/conftest.py
+++ b/tests/conftest.py
@@ -49,4 +49,10 @@ def rms_roundtrip_error():
 @pytest.fixture
 def statistical_tolerance():
     """Tolerance for statistical tests (likelihood variance)."""
-    return 1e-10
\ No newline at end of file
+    return 1e-10
+
+
+@pytest.fixture
+def grad_precision_tolerance():
+    """Tolerance for gradient precision tests."""
+    return 1e-3
diff --git a/tests/test_dataloader_jax_grad.py b/tests/test_dataloader_jax_grad.py
index 647830b..94b8a81 100644
--- a/tests/test_dataloader_jax_grad.py
+++ b/tests/test_dataloader_jax_grad.py
@@ -67,10 +67,11 @@ def loader(config):
 
 
 @pytest.fixture
-def sample_data():
+def sample_data(rng_key, sample_size):
     """Sample data in [-1, 1] range."""
-    key = jax.random.PRNGKey(42)
-    return jax.random.uniform(key, shape=(5, 2), minval=-0.99, maxval=0.99)
+    return jax.random.uniform(
+        rng_key, shape=(sample_size, 2), minval=-0.99, maxval=0.99
+    )
 
 
 @pytest.mark.parametrize(
@@ -89,7 +90,9 @@ def loss_fn(data):
     assert grads.shape == sample_data.shape
 
 
-def test_round_trip_grad_precision(loader, sample_data):
+def test_round_trip_grad_precision(
+    loader, sample_data, grad_precision_tolerance
+):
     """Test round-trip transformation gradient precision."""
 
     def round_trip_loss(data):
@@ -103,4 +106,4 @@ def round_trip_loss(data):
     # Gradients should be well-behaved
     assert jnp.all(jnp.isfinite(grads))
     # For perfect round-trip, gradient magnitude should be small
-    assert jnp.max(jnp.abs(grads)) < 0.1
+    assert jnp.max(jnp.abs(grads)) < grad_precision_tolerance