Along the walkway between Terminal 3 and Terminal 4 is the Bradley International Terminal. If you have time, step inside the terminal and take a look around. The airline check-in area is a very large open room, with a high ceiling. It is actually quite nice - at least compared to Terminal 3. I like looking at all of the exotic locations posted on the departures board.
Be sure you walk along the top level in the sunshine (departures level) as opposed to the baggage claim level (dark, freeway underpass). The walk should take no more than 5 minutes.