diff --git a/lib/matplotlib/collections.py b/lib/matplotlib/collections.py
index 27b3789a3105..e968a0771598 100644
--- a/lib/matplotlib/collections.py
+++ b/lib/matplotlib/collections.py
@@ -1444,6 +1444,16 @@ def __init__(
         verts = self._make_verts(t, f1, f2, where)
         super().__init__(verts, **kwargs)
 
+    def set_verts(self, verts, closed=True):
+        super().set_verts(verts, closed=closed)
+
+        # Respect global path simplification setting
+        simplify = bool(mpl.rcParams.get("path.simplify", True))
+        for path in self._paths:
+            path.should_simplify = simplify
+
+    set_paths = set_verts
+
     @staticmethod
     def _f_dir_from_t(t_direction):
         """The direction that is other than `t_direction`."""