diff --git a/tests/test_api_link.py b/tests/test_api_link.py
index 3a52984e..949ef45f 100644
--- a/tests/test_api_link.py
+++ b/tests/test_api_link.py
@@ -158,6 +158,28 @@ def test_link_jacobians(
         v_WL_js = js.link.velocity(model=model, data=data, link_index=link_idx)
         assert v_WL_js == pytest.approx(v_WL_idt), link_name
 
+    # Test conversion to a different output velocity representation.
+    for other_repr in {VelRepr.Inertial, VelRepr.Body, VelRepr.Mixed}.difference(
+        {data.velocity_representation}
+    ):
+
+        with data.switch_velocity_representation(other_repr):
+            kin_dyn_other_repr = (
+                utils_idyntree.build_kindyncomputations_from_jaxsim_model(
+                    model=model, data=data
+                )
+            )
+
+        for link_name, link_idx in zip(
+            model.link_names(),
+            js.link.names_to_idxs(model=model, link_names=model.link_names()),
+        ):
+            v_WL_idt = kin_dyn_other_repr.frame_velocity(frame_name=link_name)
+            v_WL_js = js.link.velocity(
+                model=model, data=data, link_index=link_idx, output_vel_repr=other_repr
+            )
+            assert v_WL_js == pytest.approx(v_WL_idt), link_name
+
 
 def test_link_bias_acceleration(
     jaxsim_models_types: js.model.JaxSimModel,