Yes, for a few reasons. One, when your CPU gets too hot it "throttles" itself, which means it down-clock's itself which means say you have a 2.4ghz CPU, it will down-clock itself to say 2.0ghz and then more until it reaches a point where it is not overheating. However, with overheating the computer should shut itself down when the CPU reaches its max unsafe temperature. So, I need to know if your Mac is turning itself off, or are you just noticing your CPU temp. is higher, which by the way 111 degrees fahrenheit is easily a very safe temperature for a CPU.
Which by the way, what year MacBook Pro do you have and what CPU (Core2 Duo, i3, i5, i7 etc...) do you have? Also, are you experiencing any other issues? Does your CPU stay at 111 degrees or does it fluctuate up and down due to what the load on the computer is, which is completely normal.
Once you answer these questions I should be able to tell you if your MacBook Pro is overheating or just throttling itself. Thanks!