#thinkpad models have a drain mechanism embeeded underneath the keyboard, not sure if it also cover the mousepad.
The problem cames if your coffee had sugar added, that will make the fluid more sticky and therefore it will not drain fully. 

 I once had all of the delicious juices that were left behind from a baked salmon that was marinated in lots of lemon juice poured on my laptop keyboard...
Safe to say I purchased a new laptop.