Initial fears that the 26-year-old Trinidad and Tobago international could face an extensive spell on the sidelines were allayed after scans revealed only minor damage meaning he could return for the Potters for the Barclays Premier League game against Fulham on October 15.
"There is a slight problem, but it's nothing too serious," confirmed assistant manager Dave Kemp on the club's official website. "Kenwyne will miss this weekend's game and more than likely next week's two games as well.
"But after that we have the break which will give him a bit of time to get up and running again."
Despite the deadline day arrival of Peter Crouch and Cameron Jerome, increasing the competition for places in Stoke's forward line, Jones had featured in nine of the club's 11 games this season, and opened his account for the 2011-12 campaign against Norwich.
He will now miss games against Manchester United and Swansea, as well as the club's UEFA Europa League tie against Besiktas.
"It is disappointing for us, and for him, because he has carried on from the end of last season with his form and done very well for us," Kemp continued.
"He looked extremely bright against Tottenham before he had to come off."