Depends on how warm. At warmer temperatures, ale yeasts produce ester alcohols that have fruity flavors like banana and cloves. This may or may not be a characteristic you want in your beer.
Generally, moving your beer into a room in the 60's should be just fine. Some yeasts can go as high as the low 70's and warming your ale up can aid in reviving your yeast to consume diacetyl left over from the initial fermentation.
Beer so good, it's frightening.
2014: Seven Heavens Series One: Vilon, Mystic Melomel, Skeeter Pee.