The Dallas Cowboys, Buffalo Bills, Kansas City Chiefs, New York Giants and San Francisco 49ers are on the list of teams that Beckham would like to decide on by the end of the month.
The area where Beckham helped the Rams win the Super Bowl is expected to be a contender in the playoffs.
As the Rams and Packers fall further out of the playoffs, it is less likely that Beckham will sign with one of them.
Beckham wants to play for a contender, and league sources are predicting that his eventual compensation package could be similar to some of the free agent deals signed by fellow wide receiver such as Chris Godwin and Mike Williams, each of whom makes an average of $20 million per year
Beckham's marketability and talents are thought to be at least as good as those of players like Williams and Godwin. Beckham could make about $5 million for the rest of the season if he played the final quarter at the same salary as Williams or Godwin.
Beckham is looking for a multiyear deal, which could give teams additional flexibility in structuring a deal that would work for both Beckham and his new club.
The doctor who operated on Beckham's knee is prepared to clear him for all activities.