The newspaper also reported, citing sources, via Twitter on Tuesday that the Browns are considering former Washington Redskins coach Jim Zorn, the Baltimore Ravens' quarterbacks coach this past season, and St. Louis Rams receivers coach Nolan Cromwell for their offensive coordinator job.
Atlanta Falcons quarterbacks coach Bill Musgrave also is the mix for the offensive coordinator job, a league source told NFL Network insider Jason La Canfora.
Wannstedt was a head coach for 11 seasons with the Chicago Bears and Miami Dolphins, compiling an 82-87 record. He was a defensive coordinator for Jimmy Johnson with the Dallas Cowboys and the Dolphins.
Wannstedt recently was fired as head coach at the University of Pittsburgh. He also has interviewed with the Buffalo Bills, who are coached by one of his former Dolphins offensive coordinators, Chan Gailey.
Jauron spent the past season as a secondary coach and senior assistant for the Philadelphia Eagles, and he's also a candidate for their defensive coordinator job.