diff --git a/cyanure/estimators.py b/cyanure/estimators.py
index 3465c8f52..c174a01bb 100644
--- a/cyanure/estimators.py
+++ b/cyanure/estimators.py
@@ -299,7 +299,7 @@ def fit(self, X, labels, le_parameter=None):
             loss = self.loss
 
         if (loss == "multiclass-logistic" or loss == "logistic") and self.lambda_1 == np.inf:
-            self.lambda_1 = 1 / (2 * X.shape[0])
+            self.lambda_1 = 0
         elif (self.lambda_1 == np.inf):
             self.lambda_1 = 0