Agent Eugene Parker confirmed Friday that Benson visited Green Bay, but did not indicate that a deal was in place.
ESPN reported earlier Friday that Benson had visited the team and was expected to sign.
Benson is a free agent after four seasons with the Cincinnati Bengals. He had 273 carries for 1,067 yards and six touchdowns rushing last season and has surpassed the 1,000-yard rushing mark in each of the past three seasons.
The Packers did not re-sign veteran free agent Ryan Grant in the offseason, leaving James Starks as the most experienced member of a young backfield.