If it's a model that's meant to defrost, we have a similar problem on our fridge occasionally where the outlet drain at the back of the fridge freezes up and won't let the water drain out.  A quick poke around in a drain hole with a knitting pin or something like that could fix the problem?  Not sure where any such drain might be on your freezer or if it has such a thing though - just a suggestion.
                 Drew
                
 May 2011