League sources told Pro Football Network's Tony Pauline that the expectation is Washington will make a bid for Rivers but it "will likely take a massive contract" for him to sign with the organization.
Another potential problem for Washington, per NFL Network's Ian Rapoport, is Rivers will consider retiring if the Indianapolis Colts or Las Vegas Raiders don't sign him.
The Redskins appear to be exploring all options at quarterback this offseason. Head coach Ron Rivera has been coy about committing to 2019 first-round pick Dwayne Haskins as the starter.
"I see some progress," Rivera told reporters of Haskins at the NFL Scouting Combine. "From the time he started the Detroit game, to the very last game he played. You look at those things and say, man, there is some growth there. There is some potential for the young man to be the type of player that he can be."
Per Michael Silver of the NFL Network, there is a "very real possibility" Washington drafts a quarterback with the No. 2 overall pick, "especially if Tua (Tagovailoa) is deemed healthy."
Haskins, the No. 15 overall pick last year, struggled as a rookie with 1,365 yards, seven touchdowns and seven interceptions in nine games.
Tagovailoa's health is a major question for the draft right now. The former Alabama star, who had surgery to repair a dislocated hip in November, said Tuesday at the combine that he expects to be medically cleared on March 9 and is planning his own pro day for April 9.
Washington's potential interest in Rivers could be as insurance if Tagovailoa is drafted but not physically ready to play at the start of the season.
Rivers, 38, completed 66.0 percent of his passes for 4,615 yards with 23 touchdowns and 20 interceptions with the Los Angeles Chargers in 2019.