diff --git a/loopy/kernel.py b/loopy/kernel.py
index 84f7ced462ac6661cdc5f322607fe3e952a31727..04d21a74a120259e4f860504b048d7a227381282 100644
--- a/loopy/kernel.py
+++ b/loopy/kernel.py
@@ -502,9 +502,7 @@ class LoopKernel(Record):
         # }}}
 
         if assumptions is None:
-            assumptions_space = domain.get_space()
-            assumptions_space = assumptions_space.drop_dims(
-                    dim_type.set, 0, assumptions_space.dim(dim_type.set))
+            assumptions_space = domain.get_space().params()
             assumptions = isl.Set.universe(assumptions_space)
 
         elif isinstance(assumptions, str):