Tomlinson arrived in the Twin Cities on Wednesday night and dined with some of the Vikings brass. He had more meetings scheduled for Thursday to talk about how he would fit in with the Vikings.
Minnesota lost backup running back Chester Taylor to the Chicago Bears, so it needs an experienced, versatile player behind the All-Pro Peterson. Tomlinson's ability to catch the ball out of the backfield and fill in as a capable pass blocker on third downs makes him an ideal fit.
Tomlinson told the Star Tribune of Minneapolis late Wednesday night that he would welcome a role as a third-down back to play for a winner.
The running back closed out nine seasons with the San Diego Chargers last month, when the team announced that he had been released.
L.T., who joined the team in 2001, was one of 53 players recognized as the greatest Chargers of all-time in a ceremony last season celebrating the team's 50th anniversary last season.
Tomlinson was due a $2 million bonus in early March if he stayed with the Chargers. But as his role diminished in a team that relied more and more on the passing game, it became obvious the Chargers would cut him loose.