As All Elite Wrestling gets set to debut on TNT, don’t expect an appearance by CM Punk any time soon.

There was speculation Punk, the former WWE champion whose real name is Phil Brooks, might show up at AEW’s “All Out” pay-per-view in his hometown of Chicago in August after he agreed to appear at Starrcast, the accompanying wrestling convention run by podcast mogul Conrad Thompson.

Punk, who told ESPN the company texted him a contract offer, never made it into an AEW ring, lessening the chance he ever does.

“I think the ship has sailed on that one,” Nick Jackson, one of AEW’s executive vice president and a member of The Young Bucks tag team, told The Post in a phone interview ahead of the premiere of “AEW Dynamite” on Wednesdays starting tonight at 8 p.m.

Punk hasn’t officially wrestled since the 2014 Royal Rumble. He had a failed UFC run and is currently a commentator for Cage Fury Fighting Championships.

At Starrcast he didn’t completely rule out a return to WWE, saying he “wouldn’t not talk” to the company. Cody Rhodes, one of AEW’s other executive vice presidents, said during an interview on Collider Live that Punk “did kind of make us look like dumbasses, saying we sent him a text offer.” He did add that the door to AEW is “always open” for Punk.

Punk confirmed he was brought in to screen test for a guest role on the “WWE Backstage” studio show, which will air Tuesdays at 11 p.m. on FS1 starting Nov. 5. A lot would likely need to happen for that to become a reality, even with the show being produced by Fox: Punk said Wednesday on Collider Live he hasn’t heard from WWE representatives since the Fox audition.

One recognizable name you could see in AEW is former UFC heavyweight champion Cain Velasquez, who is currently wrestling with Mexico’s Lucha Libre AAA promotion.

Velasquez, according to multiple reports, is in discussions with AEW and WWE. Velasquez is scheduled to wrestle at a AAA show at The Forum outside Los Angeles on Oct. 13 and then could become a free agent.

Matt Jackson, Nick’s brother, tag partner and fellow AEW EVP, told The Post that AEW is “100 percent interested” in Velasquez, whom they saw wrestle live at Triplemania XXVII in August in a six-man tag match that included Rhodes.

“All the boys were watching and popping,” Matt Jackson said. “I don’t think anyone expected him to move the way that he moved. He really impressed us. Yeah, it would be amazing to do something with him in the future, especially on our television. I think it would bring a lot of new viewers.”

Rhodes was “blown away” by Velasquez during their match and would “love” to team with him again in AEW.

“I like what he’s done with AAA,” Rhodes said during a conference call on Monday. “I continue to monitor it. That might be something you see of a personal project for me if and when Cain would like to come play ball with us. I’d be down.”

Velasquez praised AEW to The Post in September.

“I thought it was pretty badass what they did there,” Velasquez said of “All Out.”

The announce team for “Dynamite” will be legendary commentator Jim Ross, “Golden Boy” Alex Mendez and the masked Excalibur. Former WCW voice Tony Schiavone will not be on weekly to start because he has dates elsewhere to finish up, likely with Major League Wrestling and college football.

“We are probably going to do a mixture of things and see what the fans like best,” Nick Jackson said. “Tony Schiavone is definitely going to be in the mix.”

Rhodes addressed how AEW’s “Being the Elite” and “Road to” YouTube series would compliment the “bell-to-bell” wrestling action on “Dynamite.” They will give the company’s offerings a “buffet” of styles.

“There is different types of pro wrestling and there is no wrong way to do what we do. The only thing that matters is the fans’ appreciation of it if they like it, and we offer that,” Rhodes said.

“‘Being the Elite’ [is] the absurd. It is the Deadpool of wrestling, it’s the fourth-wall-poking element that was so taboo and now you see all over the place … What I do with the ‘Road to’ series is old school southern tradition wrasslin’ and they still work together.”