That's what reporter Arpon Basu mentioned on the The Athletic Support podcast and, along with Marc-Antoine Godin, the two even brought up the possibility of Byron being tendered and claimed by the Ottawa Senators.
Basu even argues that it would, in some ways, be a relief for Kent Hughes if he had to lose Byron in any way. No. 41 will be an uncompensated free agent next summer, and the idea of him joining a team on the rise like the Senators makes a lot of sense.
Now, this is speculation here, but since Byron is probably in his last few miles in a Habs uniform, he might as well end up with a team with playoff aspirations.