Pulis played a part in getting Megson the manager's position at Bolton, after tempting him back into the game with a coaching job at Stoke two years ago.
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He now wants Megson to buy the drinks after their Premier League match on Wednesday.
Pulis joked: "Meggy didn't buy a drink the whole time he was here, but he should now have enough money to put his hand in his pocket. Seriously though, I've got a lot of respect for him. He's a genuine and honest lad and has a nice family. He is down to earth and has good values.
"Sometimes managers get pigeonholed because of how they come over in the media, but anyone who really knows him will tell you he's a quality guy.
"There are other managers who come over as nice people when they are anything but, and that annoys me. It's all about perceptions and perceptions can be wrong a lot of the time."
Pulis is considering whether to reward Ricardo Fuller and Glenn Whelan for their Villa Park heroics at the weekend with starting roles against Bolton.
Both were inspirational substitutes as struggling Stoke staged a magnificent fightback to claim an unlikely point in a 2-2 draw at Aston Villa on Sunday.
Fuller's lung-busting cameo turned a dramatic match on its head, while Whelan cracked home a 20-yard shot for Stoke's 90th-minute equaliser.
Pulis said: "Ric and Glenn were tremendous and they've given me a nice problem to sort out.
"Whether Glenn starts or not I don't know because Amdy Faye has been playing well, especially at home.
"Ric has made a miraculous recovery from a dislocated shoulder and I will also have to decide whether he is ready to start a game. All I do know is I expect it to be a very tough game. Bolton are strong and well organised and it will be a battle."
Pulis accepted Sunday's 2-2 result has given Stoke something to build on, but he added: "It was a smashing result, particularly as we've been kicked in the proverbials a few times this season by conceding late goals.
"People are saying what happened could be a big turning point, but I don't know about that."