MBP 2012 (not retina) replace HD with 2011 MBP SSD?

I have an early 2011 MBP 13in with an Intel SSD running Lion. Wonderful computer. SSD runs like a champ. However, I just bought the 2012 15in (NOT RETINA) MBP, and I want to replace the HD in the 2012 MBP with the SSD from my 2011 MBP. Can I remove the HD from the 2012 MBP, put the SSD from the 2011 MBP into the new 2012 MBP and it will simply work? If it's not quite that simple, what steps must I take to get the SSD from the 2011 MBP working in the 2012 (NOT RETINA) MBP?

(Oh, and for those that are curious...I am not interested in the retina MBP because the RAM and SSD are soldered into the board. No thanks.)