Well they don't really need to move Kane to help with their tank, they're doing just fine as it stands.
I'm not privy to the conversations they've had about his NMC, other than the rumors that he was only looking at Toronto or New York.
I think there are some other pieces that need to fall into place first though. Like Meier being the big one. I'm not sure if Buffalo is actually in on him or not. Carolina maybe. Vegas? Those are all places that you could maybe see Kane waiving for, if he ends up waiving. I think it benefits Chicago to wait until some of those questions are answered, but that is assuming Kane's top priority is going to a good team, at this point, and not playing hardball about just going to 1-3 places.
Just as an example, if Kane eventually decides he'd be okay with any of Vegas, Buffalo and Carolina, and those three are also in on Meier, waiting until Meier is dealt could increase the bidding war for Kane. Which means Chicago would be wise to not sell too early (unless, again, they get offered something now that they don't think will be beaten in a week and a half).
Can see it both ways, I just don't think Chicago has to be in a hurry here.