I'm guessing they won't make a waiver claim any time soon. They don't have the cap space for a 23 man roster, they have to go with 22 which would leave them $525k.
The forward waiver claim spot was basically taken by Tatar. They have enough competition for the 4C spot with Olofsson, Meyers, and Pavel. Plus the trade deadline if need be.
And Tufte has looked good in camp, though they want to keep him at wing.
As it is, if the send down one of Olofsson or Tufte, they'd have to pass through waivers themselves. If they claim someone, and send down Olofsson and Tufte, they'd risk losing both.
Bednar also sounded like he had some expectations for Pavel and was disappointed he got injured.
If they need a defenseman they have MacDermid in a pinch, though they want to keep him at forward, but with the Eagles close by, they may take the gamble that they can call up someone like Malinski, Hunt, or Clurman if given enough time.
So my guess is they won't make a waiver claim early on this year, unless injuries force their hand, or both Franky is expected out long term and Annunen doesn't perform well in his first game. I think they'll wait to give Annunen a game though to see if he's up to the task.