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.
Junior Carlos Hyde, sophomore Rod Smith and true freshman Bri'onte Dunn are other options at running back.
Information from The Associated Press was used in this report.