diff --git a/meta/classes/multilib.bbclass b/meta/classes/multilib.bbclass
index f5f3c69363..f1696b6b7c 100644
--- a/meta/classes/multilib.bbclass
+++ b/meta/classes/multilib.bbclass
@@ -10,7 +10,9 @@ python multilib_virtclass_handler () {
     e.data.setVar('STAGING_KERNEL_DIR', e.data.getVar('STAGING_KERNEL_DIR', True))
 
     # There should only be one kernel in multilib configs
-    if bb.data.inherits_class('kernel', e.data) or bb.data.inherits_class('module-base', e.data):
+    # We also skip multilib setup for module packages.
+    provides = (e.data.getVar("PROVIDES", True) or "").split()
+    if "virtual/kernel" in provides or bb.data.inherits_class('module-base', e.data):
         raise bb.parse.SkipPackage("We shouldn't have multilib variants for the kernel")
 
     if bb.data.inherits_class('image', e.data):
diff --git a/meta/lib/oe/classextend.py b/meta/lib/oe/classextend.py
index 19e1254637..61cbb8fdf3 100644
--- a/meta/lib/oe/classextend.py
+++ b/meta/lib/oe/classextend.py
@@ -5,7 +5,7 @@ class ClassExtender(object):
         self.pkgs_mapping = []
 
     def extend_name(self, name):
-        if name.startswith("kernel-module"):
+        if name.startswith("kernel-module") or name == "virtual/kernel":
             return name
         if name.startswith("rtld"):
             return name