Robinson is heading to RFU Championship side Bristol, where he has signed a three-year-deal.
Director of Rugby Dai Young said: " I would like to wish Nick all the best in the next part of his rugby career. He is joining a Club at a very exciting time and I am sure he will play a big part in helping them to realise their ambitions as Nick is not only a very experienced and good rugby player but also a good bloke who will work well in any environment."
"I would like to thank him for his efforts at Wasps, where he has always given 100%, and let's not forget that he will play an important role for us in some huge games for the rest of the season."