The people spoke on condition of anonymity because the process is supposed to remain secret and no formal announcement has been made.
The NFL Players Association's executive committee is meeting Monday and is expected to begin the voting process. Owners overwhelmingly approved a proposal last week, but some unresolved issues still needed to be figured out to satisfy players.
The sides worked through the weekend, finally finishing the deal Monday morning, one of the people told the AP.
The league's old labor deal expired in March, and the owners locked out the players, the NFL's first work stoppage since 1987.
The Saints and the Packers will open up the season.
(Copyright 2011 by The Associated Press. All Rights Reserved.)