Hi nymb09!
Proper case cooling is essential in today's pc's. Especially the prescotts since they tend to run pretty hot! Your asking whether or not the cpu will get damaged if you do nothing. This is kind of a take 2 situation. If you do nothing and your temps stay at this level. This is going to bring up the internal temperature inside the case. This in turn will affect everything inside the case. Your hdd, video, psu, etc will run hotter as well. Heat and dust are the top two enemies of electronic components.
Now you also stated that there's no room for any fans. So can you tell us how many fans you have installed and what direction each one is blowing. Im just asking this if you have your fans installed backwards it could be working against each other and not cooling properly.
I will second the notion of buying an aftermarket cooler. If you need any recommendations. I would definately go with a zalman cpu cooler. They are quiet even running at full speed. Plus if you throw some artic silver 5 on it. That should drop it a few more degrees Celcius.
www.zalmanusa.com
I dont know what case you got or how many fans installed. If your case doesnt have enough fans to keep your hardware cool. It would be a good thought to find one that does.
I hope this helps.....If you need anymore help just post on back in this thread.
TC
rockin'male