diff --git a/doc/whats_new/upcoming_changes/sklearn.compose/32188.fix.rst b/doc/whats_new/upcoming_changes/sklearn.compose/32188.fix.rst
new file mode 100644
index 0000000000000..1bd73934a426c
--- /dev/null
+++ b/doc/whats_new/upcoming_changes/sklearn.compose/32188.fix.rst
@@ -0,0 +1,3 @@
+- The :class:`compose.ColumnTransformer` now correctly fits on data provided as a
+  `polars.DataFrame` when any transformer has a sparse output.
+  By :user:`Phillipp Gnan <ph-ll-pp>`.
diff --git a/sklearn/compose/_column_transformer.py b/sklearn/compose/_column_transformer.py
index 58570b9676078..37629abcb43e4 100644
--- a/sklearn/compose/_column_transformer.py
+++ b/sklearn/compose/_column_transformer.py
@@ -1014,10 +1014,10 @@ def fit_transform(self, X, y=None, **params):
 
         # determine if concatenated output will be sparse or not
         if any(sparse.issparse(X) for X in Xs):
-            nnz = sum(X.nnz if sparse.issparse(X) else X.size for X in Xs)
-            total = sum(
-                X.shape[0] * X.shape[1] if sparse.issparse(X) else X.size for X in Xs
+            nnz = sum(
+                X.nnz if sparse.issparse(X) else X.shape[0] * X.shape[1] for X in Xs
             )
+            total = sum(X.shape[0] * X.shape[1] for X in Xs)
             density = nnz / total
             self.sparse_output_ = density < self.sparse_threshold
         else:
diff --git a/sklearn/compose/tests/test_column_transformer.py b/sklearn/compose/tests/test_column_transformer.py
index 0ba240cf5df11..031414190f87e 100644
--- a/sklearn/compose/tests/test_column_transformer.py
+++ b/sklearn/compose/tests/test_column_transformer.py
@@ -513,14 +513,17 @@ def test_column_transformer_list():
 
 
 @pytest.mark.parametrize("csr_container", CSR_CONTAINERS)
-def test_column_transformer_sparse_stacking(csr_container):
-    X_array = np.array([[0, 1, 2], [2, 4, 6]]).T
+@pytest.mark.parametrize("constructor_name", ["array", "pandas", "polars"])
+def test_column_transformer_sparse_stacking(csr_container, constructor_name):
+    X = np.array([[0, 1, 2], [2, 4, 6]]).T
+    X = _convert_container(X, constructor_name, columns_name=["first", "second"])
+
     col_trans = ColumnTransformer(
         [("trans1", Trans(), [0]), ("trans2", SparseMatrixTrans(csr_container), 1)],
         sparse_threshold=0.8,
     )
-    col_trans.fit(X_array)
-    X_trans = col_trans.transform(X_array)
+    col_trans.fit(X)
+    X_trans = col_trans.transform(X)
     assert sparse.issparse(X_trans)
     assert X_trans.shape == (X_trans.shape[0], X_trans.shape[0] + 1)
     assert_array_equal(X_trans.toarray()[:, 1:], np.eye(X_trans.shape[0]))
@@ -531,8 +534,8 @@ def test_column_transformer_sparse_stacking(csr_container):
         [("trans1", Trans(), [0]), ("trans2", SparseMatrixTrans(csr_container), 1)],
         sparse_threshold=0.1,
     )
-    col_trans.fit(X_array)
-    X_trans = col_trans.transform(X_array)
+    col_trans.fit(X)
+    X_trans = col_trans.transform(X)
     assert not sparse.issparse(X_trans)
     assert X_trans.shape == (X_trans.shape[0], X_trans.shape[0] + 1)
     assert_array_equal(X_trans[:, 1:], np.eye(X_trans.shape[0]))
diff --git a/sklearn/utils/_testing.py b/sklearn/utils/_testing.py
index c373dbc66f6d6..c3a1b5d6b73b7 100644
--- a/sklearn/utils/_testing.py
+++ b/sklearn/utils/_testing.py
@@ -976,12 +976,12 @@ def _convert_container(
     container : array-like
         The container to convert.
     constructor_name : {"list", "tuple", "array", "sparse", "dataframe", \
-            "series", "index", "slice", "sparse_csr", "sparse_csc", \
+            "pandas", "series", "index", "slice", "sparse_csr", "sparse_csc", \
             "sparse_csr_array", "sparse_csc_array", "pyarrow", "polars", \
             "polars_series"}
         The type of the returned container.
     columns_name : index or array-like, default=None
-        For pandas container supporting `columns_names`, it will affect
+        For pandas/polars container supporting `columns_names`, it will affect
         specific names.
     dtype : dtype, default=None
         Force the dtype of the container. Does not apply to `"slice"`