Beck is expected to replace former Buckeyes offensive coordinator Tom Herman, who will become Houston's head coach.
Co-offensive coordinator and quarterbacks coach is a likely title for Beck, according to the source.
Beck has held the positions of running backs coach, quarterbacks coach and offensive coordinator since joining Nebraska in 2008.
Ohio State and Nebraska have had two of the most successful offenses in the Big Ten over the last few years, with both programs operating versatile versions of the spread offense.
When Beck was Kansas' passing game coordinator in 2007, the team finished with a 12-1 record. Kansas finished the year second nationally in scoring offense (42.8 ppg), eighth in total offense (479.8 ypg) and 17th in passing (291.0 ypg).
As a former high school coach in Texas, Beck also has strong recruiting ties in the state.