diff --git a/llvm/test/tools/llvm-exegesis/PowerPC/lit.local.cfg b/llvm/test/tools/llvm-exegesis/PowerPC/lit.local.cfg
--- a/llvm/test/tools/llvm-exegesis/PowerPC/lit.local.cfg
+++ b/llvm/test/tools/llvm-exegesis/PowerPC/lit.local.cfg
@@ -1,3 +1,6 @@
 if not ('PowerPC' in config.root.targets):
     # We need support for PowerPC.
     config.unsupported = True
+elif not ('powerpc' in config.root.host_triple):
+    # We need to be running on an PPC host.
+    config.unsupported = True
diff --git a/llvm/test/tools/llvm-exegesis/X86/lit.local.cfg b/llvm/test/tools/llvm-exegesis/X86/lit.local.cfg
--- a/llvm/test/tools/llvm-exegesis/X86/lit.local.cfg
+++ b/llvm/test/tools/llvm-exegesis/X86/lit.local.cfg
@@ -1,3 +1,6 @@
 if not ('X86' in config.root.targets):
     # We need support for X86.
     config.unsupported = True
+elif not ('x86_64' in config.root.host_triple):
+    # We need to be running on an X86 host.
+    config.unsupported = True