"Channing has definitely leaped to the top of the list of stars she'd like to work with," a source said.
"Jen loved him in Magic Mike and 21 Jump Street and even had a Channing screening night with her girlfriends in February, when they watched several of his films. The Channing marathon was a huge success!"
The former Friends star, 45, couldn't get enough of Tatum's sizzling style in Magic Mike, in which he strips down to a red thong and simulates sex with a woman on stage.
And Aniston, who was an Oscar presenter with Tatum, 33, in 2013, identified with the actor, the source added, because she played a stripper herself in the comedy We're The Millers.
According to the insider, Aniston's next movie project is likely to be one "where she works with a prominent male lead in a comedy, as she did in The Break-Up or Bruce Almighty.
The Hollywood source said: "Jen thinks Channing would be a sure thing in terms of box office success in a romantic comedy. He's both funny and sexy and she thinks their screen chemistry would be off the charts."