The Potters forward was providing television punditry for Wednesday's Champions League games and did not arrive home until early on Thursday morning.
Nevertheless, Pulis is content with the situation because Owen is still injured and did not miss any of his club commitments.
"He was in at 8.45am working anyway," he told reporters. "If he was going to be involved on Saturday, it might have been different.
"But he has a driver and sits in a big car. He's not the biggest in the world, so he can stretch out, sleep going down there and sleep coming back. We'll let him know if he's doing things he shouldn't be."
Owen is yet to to start a game for Stoke, despite being at the club for almost three months, but Pulis hopes to have the striker involved in Wednesday's home match against his former club Newcastle.
|17/2||Stoke are 17/2 with Bet365 to beat Fulham 2-0 in the Premier League on Saturday|
He added: "We hope Michael will be fit for the Newcastle game. Whether we involve him, I'm not sure."
"We need to integrate him into the group first. From that point, we need to see how he goes and if he passes that next stage, then we can get him in.
"When he felt his hamstring again, it was a case of us pushing him a little too quickly, so we don't want to just chuck him in this time."
Stoke have not lost any of their last 12 home Premier League matches - though they have won only five of those - with their last defeat at the Britannia coming back in February against Sunderland.