diff --git a/sbi/inference/trainers/npse/vector_field_inference.py b/sbi/inference/trainers/npse/vector_field_inference.py
index 64cad5a02..fe0156802 100644
--- a/sbi/inference/trainers/npse/vector_field_inference.py
+++ b/sbi/inference/trainers/npse/vector_field_inference.py
@@ -585,6 +585,10 @@ def _loss(
         Returns:
             Calibration kernel-weighted loss implemented by the vector field estimator.
         """
+
+        if times is not None:
+            times = times.to(self._device)
+
         cls_name = self.__class__.__name__
         if self._round == 0 or force_first_round_loss:
             # First round loss.
diff --git a/tests/inference_on_device_test.py b/tests/inference_on_device_test.py
index f40b5d3b9..cf969f20c 100644
--- a/tests/inference_on_device_test.py
+++ b/tests/inference_on_device_test.py
@@ -21,7 +21,6 @@
     NPE,
     NPE_A,
     NPE_C,
-    NPSE,
     NRE_A,
     NRE_B,
     NRE_C,
@@ -38,7 +37,6 @@
 from sbi.inference.potentials.likelihood_based_potential import LikelihoodBasedPotential
 from sbi.inference.potentials.posterior_based_potential import PosteriorBasedPotential
 from sbi.inference.potentials.ratio_based_potential import RatioBasedPotential
-from sbi.inference.trainers.npse.vector_field_inference import VectorFieldInference
 from sbi.neural_nets.embedding_nets import FCEmbedding
 from sbi.neural_nets.factory import (
     classifier_nn,
@@ -625,7 +623,12 @@ def test_direct_posterior_on_gpu(device: str, device_inference: str):
     ],
 )
 def test_to_method_on_potentials(device: str, potential: Union[ABC, BasePotential]):
-    """Test to method on potential"""
+    """Test .to() method on potential.
+
+    Args:
+        device: device where to move the model.
+        potential: potential to train the model on.
+    """
 
     device = process_device(device)
     prior = BoxUniform(torch.tensor([1.0]), torch.tensor([1.0]))
@@ -665,7 +668,12 @@ def test_to_method_on_potentials(device: str, potential: Union[ABC, BasePotentia
     "sampling_method", ["rejection", "importance", "mcmc", "direct"]
 )
 def test_to_method_on_posteriors(device: str, sampling_method: str):
-    """Test that the .to() method works on posteriors."""
+    """Test .to() method on posteriors.
+
+    Args:
+        device: device to train and sample the model on.
+        sampling_method: method to sample from the posterior.
+    """
     device = process_device(device)
     prior = BoxUniform(torch.zeros(3), torch.ones(3))
     inference = NPE()
@@ -708,25 +716,44 @@ def test_to_method_on_posteriors(device: str, sampling_method: str):
 
 @pytest.mark.gpu
 @pytest.mark.parametrize("device", ["cpu", "gpu"])
-@pytest.mark.parametrize("iid_method", ["fnpe", "gauss", "auto_gauss", "jac_gauss"])
-@pytest.mark.parametrize("inference_method", [FMPE, NPSE])
-def test_VectorFieldPosterior(
-    device: str, iid_method: str, inference_method: VectorFieldInference
+@pytest.mark.parametrize("device_inference", ["cpu", "gpu"])
+@pytest.mark.parametrize(
+    "iid_method", ["fnpe", "gauss", "auto_gauss", "jac_gauss", None]
+)
+def test_VectorFieldPosterior_device_handling(
+    device: str, device_inference: str, iid_method: str
 ):
+    """Test VectorFieldPosterior on different devices training and inference devices.
+
+    Args:
+        device: device to train the model on.
+        device_inference: device to run the inference on.
+        iid_method: method to sample from the posterior.
+    """
     device = process_device(device)
-    prior = BoxUniform(torch.zeros(3), torch.ones(3), device="cpu")
-    inference = inference_method(score_estimator="mlp", prior=prior)
+    device_inference = process_device(device_inference)
+    prior = BoxUniform(torch.zeros(3), torch.ones(3), device=device)
+    inference = FMPE(score_estimator="mlp", prior=prior, device=device)
     density_estimator = inference.append_simulations(
         torch.randn((100, 3)), torch.randn((100, 2))
     ).train(max_num_epochs=1)
     posterior = inference.build_posterior(density_estimator, prior)
-    posterior.to(device)
-    assert posterior.device == device, (
-        f"VectorFieldPosterior is not in device {device}."
+
+    # faster but inaccurate log_prob computation
+    posterior.potential_fn.neural_ode.update_params(exact=False, atol=1e-4, rtol=1e-4)
+
+    posterior.to(device_inference)
+    assert posterior.device == device_inference, (
+        f"VectorFieldPosterior is not in device {device_inference}."
     )
 
-    x_o = torch.ones(2).to(device)
+    x_o = torch.ones(2).to(device_inference)
     samples = posterior.sample((2,), x=x_o, iid_method=iid_method)
-    assert samples.device.type == device.split(":")[0], (
-        f"Samples are not on device {device}."
+    assert samples.device.type == device_inference.split(":")[0], (
+        f"Samples are not on device {device_inference}."
+    )
+
+    log_probs = posterior.log_prob(samples, x=x_o)
+    assert log_probs.device.type == device_inference.split(":")[0], (
+        f"log_prob was not correctly moved to {device_inference}."
     )