The Nigerian, who joined the Potters from Cardiff City in January as part of a deal that saw Kenwyne Jones move in the opposite direction, missed Saturday's 1-0 victory over Arsenal after picking up a calf problem.
However, Odemwingie believes that he will be available to feature at Carrow Road as Mark Hughes's men look to claim successive league wins for only the second time this season.
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"I hope to be fit for this weekend."
Although Stoke are not yet assured of survival, the club have demonstrated encouraging form since Odemwingie's arrival and currently sit 13th, six points clear of the relegation zone.
"My friends say I look happy and I am," said Odemwingie, when asked about life at the Britannia Stadium. "Since I arrived everything has gone really well, most importantly the results, and now we want to try to finish in the top 10 if we can.
"There is a lot of belief in the team after winning against Arsenal and it will help us to relax and play better football in our coming games.
"If we can back up the Arsenal performance, especially away from home, then it is happy days for the club, players and fans."