His best chance to even sniff the rotation next year is if Brissett leaves, and then get those minutes as the 3rd string wing/swing.
Brissett has a player option for slightly more than the minimum, I'm curious to see if there's any interest around the league for him (more money and/or bigger role).
But even without Brissett, he still has to earn the spot, as the team will likely sign a bunch of minimum guys who have more experience to fill out the back of the roster (like Banton, Stevens, Mykhailiuk last year), and Springer will be looking for minutes too (if he's brought back).
I'm not counting on seeing much Walsh next year.