Joined: May 2016
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Gavrikov was skating in a black (not red) jersey before the holiday break, so his return is imminent. He's not on LTIR, so there's no need to make any accommodations to fit his salary, as his salary never came off the books. They'll activate him and leave Moverare in the AHL. No other moves will be necessary.
When Arvidsson comes back, that's when they'll need to worry about making accommodations. Assuming Copley is still on LTIR, the only thing they'll have to do to fit him back in the lineup is to send Laferriere to the AHL. Kaliyev is no longer waiver exempt (he hit the games played threshold in his 14th game this season), so he's not an option. Unfortunately JAD isn't an option either since his cap hit isn't high enough.
If Copley returns, then the Kings will have to send Rittich and one of JAD or Bjornfot down to the AHL. The Kings were careful not to waive Bjornfot at the start of the season, so I suspect they wouldn't be willing to waive him this time either. Unlike Moverare, JAD would need to clear waivers again since he has been on the active roster for >30 days.
So the most likely transactions we'll see are Moverare to the AHL when Gavrikov is activated, Laferriere to the AHL once Arvidsson is activated, and JAD to the AHL once Copley is activated (assuming he clears waivers again).