Norwood was arrested early Sunday morning and charged with disorderly conduct.
"I'm disappointed in what happened and I'm disappointed in the circumstances that would lead to such an event," Kansas State Coach Ron Prince said. "We have a responsibility. I think it's a privilege to wear a K-State uniform. I anticipate his return and I think he'll do it."
Norwood has caught 13 passes for 143 yards for the Wildcats, who are 3-0 and coming off a 23-7 victory over Marshall last Saturday.
"He's been a very big contributor," Prince added. "We have a lot of players who are ready to step up and that will be our expectation. Right now all I'm saying is that he won't play this weekend."