ESPN's Adam Schefter reported the news, noting Revis is "expected" to play at some point in 2017. The seven-time Pro Bowler remains a free agent after being released by the New York Jets during the offseason.
Revis, 32, recorded 53 tackles and one interception last season with the Jets. It was by far the worst campaign of his professional career, with Pro Football Focus ranking him 66th among cornerbacks—a far cry from his previous status as one of the NFL's premier players.
"I think he'll keep playing," Jets linebacker David Harris told reporters in May. "I think he has a lot of football left in him. He didn't have his best year last year, and he knew that. But I'm sure somebody will pick him up. He knows too much of the sport, and he's too good of a player to be finished."
The Chargers are in need of a starting cornerback after placing Jason Verrett on injured reserve Saturday. Verrett is set to undergo season-ending surgery on his left knee.
Schefter's report did not include a list of the other teams that have contacted Revis.