diff --git a/sklearn/model_selection/_classification_threshold.py b/sklearn/model_selection/_classification_threshold.py
index a5a898abdd1da..c68ed38b8819d 100644
--- a/sklearn/model_selection/_classification_threshold.py
+++ b/sklearn/model_selection/_classification_threshold.py
@@ -444,13 +444,8 @@ def _fit_and_score_over_thresholds(
     curve_scorer : scorer instance
         The scorer taking `classifier` and the validation set as input and outputting
         decision thresholds and scores as a curve. Note that this is different from
-        the usual scorer that output a single score value:
-
-        * when `score_method` is one of the four constraint metrics, the curve scorer
-          will output a curve of two scores parametrized by the decision threshold, e.g.
-          TPR/TNR or precision/recall curves for each threshold;
-        * otherwise, the curve scorer will output a single score value for each
-          threshold.
+        the usual scorer that outputs a single score value as `curve_scorer`
+        outputs a single score value for each threshold.
 
     score_params : dict
         Parameters to pass to the `score` method of the underlying scorer.