"Oussama had a few options and I'm delighted he has chosen to join us," Stoke manager Mark Hughes told the club's website.
"He's an exciting player, who has great pace and is very direct and will certainly add another dimension to what we already have at the club."
He is the club's fourth transfer window signing after Erik Pieters, Marc Muniesa and Juan Agudelo.
(Reporting by Josh Reich; editing by Toby Davis)
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