The two managers have had a fractious relationship in recent years, dating back to an Andy Wilkinson foul on Mousa Dembele when Hughes was in charge of Fulham.
Hughes refused to shake his fellow Welshman's hand in the aftermath of that game, a snub reciprocated by Pulis when Stoke visited Craven Cottage later in the season.
But ahead of Saturday's meeting with Rangers at the Britannia Stadium, Pulis said: "We had a little bit of a spat. It was two Celts having a spat and there's nothing wrong with that.
"There will be absolutely no problems. I think Mark will be more concerned about getting QPR sorted out, and me the same with my team, than anything between us. But you have your moments in sport. We're both competitive people.
"He did invite me for a drink down at QPR last season, and he'll be invited up for a drink following tomorrow's game. That's the way it is."
QPR make the trip north with only Southampton below them in the table, but Pulis said: "I'll be very surprised if they are down there come the end of the season."
On the face of it, Saturday's game appears to have 'must win' stamped all over it given Stoke are 15th with just one win from their opening 10 matches and QPR still searching for their first win.
But at such an early stage in the season, Pulis is more concerned his side turn performances into results.
He added: "We need a break. Look at Norwich's goal (in last Saturday's 1-0 defeat) where the ball comes off the top of his (Bradley Johnson's) head and flies into the top corner. We need something like that.
"The disappointing thing is we've players who have goals in them. The one thing I didn't think we'd have a problem with this season is scoring goals.
"But things like this happen so you have to make sure everybody stays nice and calm, keeps the belief, keeps the faith."