His camp has been actively pursuing a collusion suit against the NFL owners, alleging that Kaepernick has had work opportunities closed off to him, due to his activism on the national stage.
Johnson, 32, was a fifth-round pick by the Buccaneers in 2008 - Redskins coach Jay Gruden's final year there as an assistant - and was winless in five starts over three seasons, throwing for 1,042 yards and five touchdowns with 10 interceptions.
"There's not a lot of time to get a brand-new quarterback and system installed in a couple of days", he said. "So he's been talked about and discussed, but we'll probably go a different direction".More news: Michael Cohen's lawyers ask for no prison time
The Redskins have lost two quarterbacks to leg fractures and a once-promising season appears to be in ruins. Mark Sanchez, signed two weeks ago, takes over as the starter.
"In order to utilize someone like Colin Kaepernick's skill set, you're talking about a whole new group of formations and run concepts", Gruden said.
"It's just going to be a matter of which way do we want to go?" he said, via the Washington Post. "Listen, I've seen just about everything in this league except for, I don't know, a Super Bowl game".
The Redskins could very well continue to roll with Sanchez, but the possible addition of Kaepernick would provide them with a quarterback that could make more of an impact on the field with his arm and legs.