diff --git a/lib/matplotlib/lines.py b/lib/matplotlib/lines.py
index 42df262185b6..3b3219a8e95b 100644
--- a/lib/matplotlib/lines.py
+++ b/lib/matplotlib/lines.py
@@ -457,7 +457,8 @@ def recache(self, always=False):
         if (self.axes and len(x) > 100 and self._is_sorted(x) and
                 self.axes.name == 'rectilinear' and
                 self.axes.get_xscale() == 'linear' and
-                self._markevery is None):
+                self._markevery is None and
+                self.get_clip_on() is True):
             self._subslice = True
         if hasattr(self, '_path'):
             interpolation_steps = self._path._interpolation_steps