Gilsig, who plays Terri Schuester in the comedy, told People that Midler would be a "good fit".
"Bette Midler should be on the show," Gilsig said. "I’d want her to be my aunt or something."
She added: "You can imagine Bette Midler as a kid. She must have been one of those Glee season 1 DVD Box Set kids. She must have been so misunderstood and struggled so much, but she’s driven the same way Rachel is driven. I think she would be a good fit."
How I Met Your Mother DVD star Neil Patrick Harris recently officially signed up for a part on the show, while Olivia Newton-John will also appear in the comedy.
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‘Glee’ Gilsig ‘wants Bette Midler cameo’