diff --git a/var/spack/repos/builtin/packages/trilinos/package.py b/var/spack/repos/builtin/packages/trilinos/package.py
index 46f00d18b7c..74df430456a 100644
--- a/var/spack/repos/builtin/packages/trilinos/package.py
+++ b/var/spack/repos/builtin/packages/trilinos/package.py
@@ -427,12 +427,12 @@ class Trilinos(CMakePackage, CudaPackage, ROCmPackage):
         depends_on("kokkos-kernels~shared", when="+cuda_rdc")
         depends_on("kokkos-kernels~shared", when="+rocm_rdc")
         depends_on("kokkos~complex_align")
-        depends_on("kokkos@=4.5.01", when="@master:")
+        depends_on("kokkos@=4.6.00", when="@master:")
         depends_on("kokkos@=4.5.01", when="@16.1")
         depends_on("kokkos@=4.3.01", when="@16.0")
         depends_on("kokkos@=4.2.01", when="@15.1:15")
         depends_on("kokkos@=4.1.00", when="@14.4:15.0")
-        depends_on("kokkos-kernels@=4.5.01", when="@master:")
+        depends_on("kokkos-kernels@=4.6.00", when="@master:")
         depends_on("kokkos-kernels@=4.5.01", when="@16.1")
         depends_on("kokkos-kernels@=4.3.01", when="@16.0")
         depends_on("kokkos-kernels@=4.2.01", when="@15.1:15")