From Muppet Wiki

Written by	Edward Kennedy "Duke" Ellington and Lee Gaines
Music by
Lyrics by
Date	1941
Source
Publisher	EMI Robbins Catalog Inc.

"Just Squeeze Me" is performed by Lottie Lemon and her Singing Wig on episode 520 of The Muppet Show. They are interrupted when The Flying Zucchini Brothers fall onto the stage.