Can I transfer my AppleCare plan to a new product

I bought the iPhone4S and AppleCare protection plan with Sprint when it came out in October. A little under a month ago, my phone was stolen while I was downtown and I purchased another iPhone through Sprint. They told me to contact Apple to see about getting my AppleCare plan transferred to the new product. I've searched around and called but the automated system is not doing too much to help me find my answer. I want to switch the plan to my new phone, since I am no longer in possession of my old phone and I don't really want anyone else to be able to gain anything more at my expense.

Thank you in advance,

Samantha

Also, I apologize but Apple automatically placed this question into the AppleTV forum. I know that is not the place for this.