diff --git a/hog/function_space.py b/hog/function_space.py
index 2d27469ee14c707c782a33f433f4cd7798eb9ca8..83bdde26632f4c0ee76424b010e2d48a2eae7875 100644
--- a/hog/function_space.py
+++ b/hog/function_space.py
@@ -164,7 +164,10 @@ class LagrangianFunctionSpace(FunctionSpace):
 
     @property
     def is_continuous(self) -> bool:
-        return True
+        if self._degree == 0:
+            return False
+        else:
+            return True
 
     @property
     def degree(self) -> int: