diff --git a/var/spack/repos/builtin/packages/gcc-runtime/package.py b/var/spack/repos/builtin/packages/gcc-runtime/package.py
index 9c92feb3371..f5c36221b1c 100644
--- a/var/spack/repos/builtin/packages/gcc-runtime/package.py
+++ b/var/spack/repos/builtin/packages/gcc-runtime/package.py
@@ -53,7 +53,8 @@ class GccRuntime(Package):
     provides("libgfortran@4", when="%gcc@7")
     provides("libgfortran@5", when="%gcc@8:")
 
-    depends_on("libc", type="link")
+    depends_on("libc", type="link", when="platform=linux")
+    depends_on("libc", type="link", when="platform=cray")
 
     def install(self, spec, prefix):
         if spec.platform in ["linux", "cray", "freebsd"]:
diff --git a/var/spack/repos/builtin/packages/intel-oneapi-runtime/package.py b/var/spack/repos/builtin/packages/intel-oneapi-runtime/package.py
index 66e8957b8f4..de2b5d39faa 100644
--- a/var/spack/repos/builtin/packages/intel-oneapi-runtime/package.py
+++ b/var/spack/repos/builtin/packages/intel-oneapi-runtime/package.py
@@ -45,7 +45,8 @@ class IntelOneapiRuntime(Package):
     conflicts("platform=windows", msg="IntelOneAPI can only be installed on Linux, and FreeBSD")
     conflicts("platform=darwin", msg="IntelOneAPI can only be installed on Linux, and FreeBSD")
 
-    depends_on("libc", type="link")
+    depends_on("libc", type="link", when="platform=linux")
+    depends_on("libc", type="link", when="platform=cray")
 
     def install(self, spec, prefix):
         libraries = get_elf_libraries(compiler=self.compiler, libraries=self.LIBRARIES)