If you feed strawberries to your bunny take note that the fiber in the strawberry is easily fermented by bacteria and can effectively add more sugar to their diet and increase the risk of diarrhea.ore Information. Adding dried strawberries and other fruit to your rabbits diet many seem like a good idea but it is defficient in protein and many nutrients that rabbits need. Also it may add too much sugar to their diet and cause diarrhea.