diff --git a/var/spack/repos/builtin/packages/trilinos/package.py b/var/spack/repos/builtin/packages/trilinos/package.py
index 58a180b15a9..7b5483f3142 100644
--- a/var/spack/repos/builtin/packages/trilinos/package.py
+++ b/var/spack/repos/builtin/packages/trilinos/package.py
@@ -418,6 +418,8 @@ class Trilinos(CMakePackage, CudaPackage, ROCmPackage):
 
     # External Kokkos
     with when("@14.4: +kokkos"):
+        depends_on("kokkos~cuda", when="~cuda")
+        depends_on("kokkos~rocm", when="~rocm")
         depends_on("kokkos+wrapper", when="+wrapper")
         depends_on("kokkos~wrapper", when="~wrapper")
         depends_on("kokkos+cuda_relocatable_device_code~shared", when="+cuda_rdc")