The Potters manager does not want to risk injuring the new signing by throwing him in to the starting XI before he has gained sufficient match fitness after joining as a free agent
Owen has made two substitute appearances so far for Stoke and the Welsh boss is keen to ensure the 32-year-old is not rushed back into action.
The former Manchester United and Liverpool striker has suffered from regular injury problems throughout his career and Pulis will not risk sidelining him by adding him to the starting XI before he is ready.
"Michael has been fantastic since he walked through the door here, and he looked fit and sharp when he came on at Chelsea," Pulis told reporters.
|STOKE CITY LATEST
|4/1||Michael Owen is 4/1 with PaddyPower to score the first goal for Stoke when they face Swansea
"We will bide our time with him and ease him into things, as we have done, but when he is in the team, we are confident that he can score goals for us."
Pulis was also in high spirits as he announced he had no injury worries ahead of the trip to the Liberty Stadium.
The 54-year-old confirmed that Charlie Adam had recovered from the illness which prematurely ended the midfielder's game against Chelsea.
"Charlie wasn't feeling too well last weekend and he came over to me at half-time and said he didn't feel quite right," Pulis explained.
"We took him off after a while as a precaution really, but he has had a good week of training, so he will be fine for Saturday."