Smith currently is working as a senior executive for the Redskins.
While Bruce Allen is expected to remain the president and general manager of the team, Smith is going to be asked to move to Washington, D.C., and be more involved with football decisions.
Smith's name has popped up in a couple other jobs. According to multiple sources, Smith would have been Jon Gruden's general manager had he accepted owner Mark Davis' offer to be the Raiders' coach. Gruden turned down the Raiders last month and instead signed an extension with ESPN.
Smith, according to a source, would also have been considered for a job with the Buffalo Bills had Bill Polian accepted an offer to run the team. Polian announced Thursday he was staying at ESPN.
This will be Smith's 31st year in the NFL. He was the general manager of the Chargers from 2002 to 2012. During that time, the team won 95 games.
His current contract with Washington runs out at the end of the month, and his enhanced role with the Redskins will be determined by the middle of January.