diff --git a/skore/src/skore/sklearn/find_ml_task.py b/skore/src/skore/sklearn/find_ml_task.py
index 7ba71f528..994196494 100644
--- a/skore/src/skore/sklearn/find_ml_task.py
+++ b/skore/src/skore/sklearn/find_ml_task.py
@@ -72,7 +72,7 @@ def _find_ml_task(y, estimator=None) -> MLTask:
                         return "multiclass-classification"
             else:  # fallback on the target
                 if y is None:
-                    return "unsupported"
+                    return "unknown"
 
                 target_type = type_of_target(y)
                 if target_type == "binary":
@@ -84,8 +84,8 @@ def _find_ml_task(y, estimator=None) -> MLTask:
                     if _is_sequential(y) and 0 in y:
                         return "multiclass-classification"
                     return "regression"
-            return "unsupported"
-        return "unsupported"
+            return "unknown"
+        return "unknown"
     else:
         if y is None:
             # NOTE: The task might not be clustering
@@ -104,4 +104,4 @@ def _find_ml_task(y, estimator=None) -> MLTask:
             if _is_sequential(y) and 0 in y:
                 return "multiclass-classification"
             return "regression"
-        return "unsupported"
+        return "unknown"
diff --git a/skore/src/skore/sklearn/types.py b/skore/src/skore/sklearn/types.py
index f6b4184cb..3ac85af88 100644
--- a/skore/src/skore/sklearn/types.py
+++ b/skore/src/skore/sklearn/types.py
@@ -7,5 +7,5 @@
     "multiclass-classification",
     "regression",
     "clustering",
-    "unsupported",
+    "unknown",
 ]
diff --git a/skore/tests/unit/sklearn/test_utils.py b/skore/tests/unit/sklearn/test_utils.py
index 680b748d3..08675c0c5 100644
--- a/skore/tests/unit/sklearn/test_utils.py
+++ b/skore/tests/unit/sklearn/test_utils.py
@@ -28,7 +28,7 @@
         (
             *make_multilabel_classification(random_state=42),
             MultiOutputClassifier(LogisticRegression()),
-            "unsupported",
+            "unknown",
         ),
     ],
 )
@@ -53,7 +53,7 @@ def test_find_ml_task_with_estimator(X, y, estimator, expected_task, should_fit)
         ),
         (make_regression(n_samples=100, random_state=42)[1], "regression"),
         (None, "clustering"),
-        (make_multilabel_classification(random_state=42)[1], "unsupported"),
+        (make_multilabel_classification(random_state=42)[1], "unknown"),
         (numpy.array([1, 5, 9]), "regression"),
         (numpy.array([0, 1, 2]), "multiclass-classification"),
         (numpy.array([1, 2, 3]), "regression"),
@@ -68,4 +68,4 @@ def test_find_ml_task_unfitted_estimator():
     from sklearn.dummy import DummyClassifier
 
     estimator = DummyClassifier()
-    assert _find_ml_task(None, estimator) == "unsupported"
+    assert _find_ml_task(None, estimator) == "unknown"
diff --git a/skore/tests/unit/utils/test_accessors.py b/skore/tests/unit/utils/test_accessors.py
index 7e7a8953b..7dd908f50 100644
--- a/skore/tests/unit/utils/test_accessors.py
+++ b/skore/tests/unit/utils/test_accessors.py
@@ -30,7 +30,7 @@ def func(self):
 
 
 def test_check_supported_ml_task():
-    """Test that ML task validation accepts supported tasks and rejects unsupported
+    """Test that ML task validation accepts supported tasks and rejects unknown
     ones.
     """