diff --git a/var/spack/repos/builtin/packages/mpich/package.py b/var/spack/repos/builtin/packages/mpich/package.py
index b756d5f5dc8..5fc0538f15c 100644
--- a/var/spack/repos/builtin/packages/mpich/package.py
+++ b/var/spack/repos/builtin/packages/mpich/package.py
@@ -135,6 +135,8 @@ class Mpich(AutotoolsPackage, CudaPackage, ROCmPackage):
 
     conflicts("datatype-engine=yaksa", when="device=ch3")
     conflicts("datatype-engine=yaksa", when="device=ch3:sock")
+    conflicts("datatype-engine=dataloop", when="+cuda")
+    conflicts("datatype-engine=dataloop", when="+rocm")
 
     variant(
         "hcoll",