MKE ENW INTERFAC COORD FAILURE ALLOWS C172 TO PENETRATE ARPT TFC AREA WITHOUT COM XFER.

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REQUESTED VECTORS FOR PRACTICE APCH ILS RWY 6L AT ENW. MKE APCH VECTORED ME TO THE ILS AND ASKED THAT I STAY WITH HIM ON 120.15. I COMPLIED; CROSSED THE CODE LOM; CONTINUED ON THE APCH TO THE MISSED APCH POINT. DURING THIS TIME; MKE APCH WAS OCCUPIED WITH OTHER TFC AND DID NOT CONTACT ME. I INITIATED A MISSED APCH AND CONTACTED MKE APCH. ENW TWR THEN CALLED ME ON 118.6 AND ASKED WHEN MKE APCH HAD TURNED ME OVER TO HIM. I REPLIED MKE APCH HAD NOT DONE SO AND IN FACT APCH HAD ASKED ME TO STAY WITH HIM. I THEN CONTINUED MY FLT PER MKE APCH INSTRUCTIONS. WHAT I SHOULD HAVE DONE: WHEN IT BECAME APPARENT THAT I WAS NEARING THE CODEE LOM 3.9 MI FROM ENW AND MKE APCH HAD STILL NOT TURNED ME OVER TO ENW TWR; I SHOULD HAVE: A) REMINDED MKE APCH OF WHERE I WAS AND THAT CONTACT WAS NEEDED; OR BECAUSE THE MKE APCH WAS CONTINUOUSLY BUSY; B) MADE A QUICK CALL TO ENW TWR MYSELF TO ADVISE HIM (ENW) I WAS ON THE RWY 6L ILS NEAR CODEE; THAT MKE APCH HAD ASKED ME TO STAY WITH HIM; THAT MKE APCH HAD NOT RECONTACTED ME. IN THAT WAY; ENW TWR WOULD HAVE KNOWN I WAS ALSO MONITORING HIS FREQ. NOTE: CONDITIONS WERE CAVU WITH NO OTHER TFC IN THE PATTERN AT ENW TO THE BEST OF MY KNOWLEDGE AT THE TIME OF THE ABOVE.