Will the iPhone 4S digitizer fit an iPhone 4 CDMA?

I made a bit of a mistake after I was given a broken iPhone 4 CDMA and I purchased an iPhone 4S digitizer. Can I modify the 4S digitizer to work properly in my iphone 4 CDMA?

Added (1). I've heard that the ribbons are exactly the same from several different sources. Can you link me with something that says otherwise?

Nope, ribbons are diff sized.

Just installed 4 (CDMA) digitizer on 4S (GSM), works like a charm. The back however is a no-go