The second of three times a character from Sesame Street appears on The Muppet Show: Bert and Ernie appeared in the Connie Stevens episode, Big Bird appears in this episode, and several Sesame Street characters appear in the final episode.
Big Bird: Hi, I'm Big Bird.
Miss Piggy: No kidding.
Big Bird: What do you do on the show?
Miss Piggy: I sing.
Big Bird: A singing pig? Ahahahahaha.... a singing pig, that's very funny.
Miss Piggy: Laugh this off, yellow feathers! Hyyah!! (misses Big Bird and falls over the banister).
Big Bird: Oh, you do gymnastics, too.
Big Bird: I'm a friend of Kermit's. We both come from the same neighborhood: Sesame Street.
Miss Piggy: Oh, isn't that the cute little children's show with puppets?