diff --git a/sklearn/utils/tests/test_cython_blas.py b/sklearn/utils/tests/test_cython_blas.py
index e57bfc3ec5a9c..e221c3fea4e02 100644
--- a/sklearn/utils/tests/test_cython_blas.py
+++ b/sklearn/utils/tests/test_cython_blas.py
@@ -2,10 +2,8 @@
 import pytest
 
 from sklearn.utils._cython_blas import (
-    ColMajor,
-    NoTrans,
-    RowMajor,
-    Trans,
+    BLAS_Order,
+    BLAS_Trans,
     _asum_memview,
     _axpy_memview,
     _copy_memview,
@@ -30,7 +28,7 @@ def _numpy_to_cython(dtype):
 
 
 RTOL = {np.float32: 1e-6, np.float64: 1e-12}
-ORDER = {RowMajor: "C", ColMajor: "F"}
+ORDER = {BLAS_Order.RowMajor: "C", BLAS_Order.ColMajor: "F"}
 
 
 def _no_op(x):
@@ -166,9 +164,15 @@ def test_rot(dtype):
 
 @pytest.mark.parametrize("dtype", [np.float32, np.float64])
 @pytest.mark.parametrize(
-    "opA, transA", [(_no_op, NoTrans), (np.transpose, Trans)], ids=["NoTrans", "Trans"]
+    "opA, transA",
+    [(_no_op, BLAS_Trans.NoTrans), (np.transpose, BLAS_Trans.Trans)],
+    ids=["NoTrans", "Trans"],
+)
+@pytest.mark.parametrize(
+    "order",
+    [BLAS_Order.RowMajor, BLAS_Order.ColMajor],
+    ids=["RowMajor", "ColMajor"],
 )
-@pytest.mark.parametrize("order", [RowMajor, ColMajor], ids=["RowMajor", "ColMajor"])
 def test_gemv(dtype, opA, transA, order):
     gemv = _gemv_memview[_numpy_to_cython(dtype)]
 
@@ -187,7 +191,11 @@ def test_gemv(dtype, opA, transA, order):
 
 
 @pytest.mark.parametrize("dtype", [np.float32, np.float64])
-@pytest.mark.parametrize("order", [RowMajor, ColMajor], ids=["RowMajor", "ColMajor"])
+@pytest.mark.parametrize(
+    "order",
+    [BLAS_Order.RowMajor, BLAS_Order.ColMajor],
+    ids=["BLAS_Order.RowMajor", "BLAS_Order.ColMajor"],
+)
 def test_ger(dtype, order):
     ger = _ger_memview[_numpy_to_cython(dtype)]
 
@@ -207,12 +215,20 @@ def test_ger(dtype, order):
 
 @pytest.mark.parametrize("dtype", [np.float32, np.float64])
 @pytest.mark.parametrize(
-    "opB, transB", [(_no_op, NoTrans), (np.transpose, Trans)], ids=["NoTrans", "Trans"]
+    "opB, transB",
+    [(_no_op, BLAS_Trans.NoTrans), (np.transpose, BLAS_Trans.Trans)],
+    ids=["NoTrans", "Trans"],
+)
+@pytest.mark.parametrize(
+    "opA, transA",
+    [(_no_op, BLAS_Trans.NoTrans), (np.transpose, BLAS_Trans.Trans)],
+    ids=["NoTrans", "Trans"],
 )
 @pytest.mark.parametrize(
-    "opA, transA", [(_no_op, NoTrans), (np.transpose, Trans)], ids=["NoTrans", "Trans"]
+    "order",
+    [BLAS_Order.RowMajor, BLAS_Order.ColMajor],
+    ids=["BLAS_Order.RowMajor", "BLAS_Order.ColMajor"],
 )
-@pytest.mark.parametrize("order", [RowMajor, ColMajor], ids=["RowMajor", "ColMajor"])
 def test_gemm(dtype, opA, transA, opB, transB, order):
     gemm = _gemm_memview[_numpy_to_cython(dtype)]