diff --git a/src/ol/layer/Graticule.js b/src/ol/layer/Graticule.js
index 0e3f073eb1..15ba7cd2a1 100644
--- a/src/ol/layer/Graticule.js
+++ b/src/ol/layer/Graticule.js
@@ -729,7 +729,7 @@ class Graticule extends VectorLayer {
         center[0] -= (worldsAway * worldWidth);
         extent[0] -= (worldsAway * worldWidth);
         extent[2] -= (worldsAway * worldWidth);
-        wrapX = true;
+        wrapX = !containsExtent(projectionExtent, extent);
       }
     }