diff --git a/pyproject.toml b/pyproject.toml
index b38b1c85..39687c3f 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -62,6 +62,7 @@ dev = [
     "pre-commit",
     "pytest",
     "pytest-cov",
+    "onnx",
     "sybil",      # doctesting
 ]
 
diff --git a/src/careamics/models/layers.py b/src/careamics/models/layers.py
index 3cc621fe..40e9211e 100644
--- a/src/careamics/models/layers.py
+++ b/src/careamics/models/layers.py
@@ -459,7 +459,8 @@ def __init__(
         self.stride = stride
         self.max_pool_size = max_pool_size
         self.ceil_mode = ceil_mode
-        self.kernel = _get_pascal_kernel_nd(kernel_size, norm=True, dim=self.dim)
+        kernel = _get_pascal_kernel_nd(kernel_size, norm=True, dim=self.dim)
+        self.register_buffer("kernel", kernel, persistent=False)
 
     def forward(self, x: torch.Tensor) -> torch.Tensor:
         """Forward pass of the function.
@@ -474,11 +475,12 @@ def forward(self, x: torch.Tensor) -> torch.Tensor:
         torch.Tensor
             Output tensor.
         """
-        self.kernel = torch.as_tensor(self.kernel, device=x.device, dtype=x.dtype)
+        kernel = self.kernel.to(dtype=x.dtype)
+        num_channels = int(x.size(1))
         if self.dim == 2:
             return _max_blur_pool_by_kernel2d(
                 x,
-                self.kernel.repeat((x.size(1), 1, 1, 1)),
+                kernel.repeat((num_channels, 1, 1, 1)),
                 self.stride,
                 self.max_pool_size,
                 self.ceil_mode,
@@ -486,7 +488,7 @@ def forward(self, x: torch.Tensor) -> torch.Tensor:
         else:
             return _max_blur_pool_by_kernel3d(
                 x,
-                self.kernel.repeat((x.size(1), 1, 1, 1, 1)),
+                kernel.repeat((num_channels, 1, 1, 1, 1)),
                 self.stride,
                 self.max_pool_size,
                 self.ceil_mode,
diff --git a/tests/lightning/test_lightning_module_onnx_exportability.py b/tests/lightning/test_lightning_module_onnx_exportability.py
new file mode 100644
index 00000000..b68679d9
--- /dev/null
+++ b/tests/lightning/test_lightning_module_onnx_exportability.py
@@ -0,0 +1,59 @@
+import pytest
+import torch
+from onnx import checker
+
+from careamics.config import FCNAlgorithmConfig
+from careamics.lightning.lightning_module import FCNModule
+
+
+@pytest.mark.parametrize(
+    "algorithm, architecture, conv_dim, n2v2, loss, shape",
+    [
+        ("n2n", "UNet", 2, False, "mae", (16, 16)),  # n2n 2D model
+        ("n2n", "UNet", 3, False, "mae", (8, 16, 16)),  # n2n 3D model
+        ("n2v", "UNet", 2, False, "n2v", (16, 16)),  # n2v 2D model
+        ("n2v", "UNet", 3, False, "n2v", (8, 16, 16)),  # n2v 3D model
+        ("n2v", "UNet", 2, True, "n2v", (16, 16)),  # n2v2 2D model
+        ("n2v", "UNet", 3, True, "n2v", (8, 16, 16)),  # n2v2 3D model
+    ],
+)
+def test_onnx_export(tmp_path, algorithm, architecture, conv_dim, n2v2, loss, shape):
+    """Test model exportability to ONNX."""
+
+    algo_config = {
+        "algorithm": algorithm,
+        "model": {
+            "architecture": architecture,
+            "conv_dims": conv_dim,
+            "in_channels": 1,
+            "num_classes": 1,
+            "depth": 3,
+            "n2v2": n2v2,
+        },
+        "loss": loss,
+    }
+    algo_config = FCNAlgorithmConfig(**algo_config)
+
+    # instantiate CAREamicsKiln
+    model = FCNModule(algo_config)
+    # set model to evaluation mode to avoid batch dimension error
+    model.model.eval()
+    # create a sample input of BC(Z)XY
+    x = torch.rand((1, 1, *shape))
+
+    # create dynamic axes from the shape of the x
+    dynamic_axes = {"input": {}, "output": {}}
+    for i in range(len(x.shape)):
+        dynamic_axes["input"][i] = f"dim_{i}"
+        dynamic_axes["output"][i] = f"dim_{i}"
+
+    torch.onnx.export(
+        model,
+        x,
+        f"{tmp_path}/test_model.onnx",
+        input_names=["input"],  # the model's input names
+        output_names=["output"],  # the model's output names
+        dynamic_axes=dynamic_axes,  # variable length axes,
+    )
+
+    checker.check_model(f"{tmp_path}/test_model.onnx")