sponge mushroom spon·ge·mush·room uncommon noun 1. an edible and choice morel with a globular to elongate head with an irregular pattern of pits and ridges Synonymscommon morelMorchella esculentasponge mushroomsponge morel Related words Broader terms morel Parts Morchella WordNet 2.1 (Princeton University). WordNet 2.1 Copyright Princeton University. All rights reserved.