Ohio State believes the foot injury suffered by running back Jordan Hall is "significant" and the best-case scenario is he will return by Week 3, a source told ESPN's Joe Schad.
The Buckeyes are prepared for him to take a medical redshirt if necessary, the source said.
Hall, the No. 1 running back on Ohio State's depth chart, had surgery on Friday for a cut on the bottom of his right foot.
Hall, with 817 career rushing yards, is a senior who first-year coach Urban Meyer had singled out as one of the team's top potential playmakers.
He was walking in grass outside his residence in Columbus when he cut his foot.
The Buckeyes open fall camp in about five weeks.
Information from The Associated Press was used in this report.