I posted some of this in the Kane/Toews thread.
Despite my initial hunch that Kopitar's next contract will easily be 9-10 million AAV, I really don't believe it will get that high. Lombardi, as usual, has structured his contracts deftly.
Kopitar's next contract will begin in the 16/17 season and he will be 29 years old on opening night. Assuming he will get the full term (eight years), the final season of this contract will be in the 23/24 season, in which he'll be 36 years old.
If you look at pretty much every multi year deal Lombardi has ever negotiated (going all the way back to the Kovalchuk offer), he has always bell curved his deals to drop significantly in years a player is in his mid to late 30s. The recent Gaborik deal is a perfect example of this. Considering Kopitar's next contract will take him to 36 years of age, I feel this will significantly impact the overall AAV. By contrast, Toews' deal takes him to 34 years old, and Kane to 33. By having less "you'll be old and not as good" years to tack on to either players' contract, this gave the Blackhawks very little room to lower their AAVs. Setting the precedent of identical deals expiring in identical years was a disastrous mistake Chicago management made, as well, seeing how it gave a huge amount of leverage away to begin with. Offering either player a higher dollar deal would risk alienating the other player. It also created the looming threat of your top two forwards walking if they didn't get what they wanted. Imagine the Kings having to negotiate Kopitar AND Carter's deals next season? Chicago put themselves in a disadvantageous position upon signing Toews and Kane's bridge deals years ago, and this is their comeuppance.
Anyway, I can easily see Lombardi offering Kopitar the following deal:
16/17: 11 million (29)
17/18: 11 million (30)
18/19: 11 million (31)
19/20: 9 million (32)
20/21: 8 million (33)
21/22: 7 million (34)
22/23: 6 million (35)
23/24: 6 million (36)
Total dollar value: 69 million
AAV: 8.625
This is, realistically, the way Lombardi would likely feel a contract should be structured for a top line center, in which prime and declining years (traditionally) are accounted for. Kopitar would be making near league max, a higher cash figure than most in the league, for his remaining prime years (age 29-31), followed by a steady decline throughout the rest of his mid 30s.
Brisson will likely try to negotiate as close to Toews' deal as he can, but it will be very difficult to argue that a contract which begins at a prime year and ends at a 35+ year should carry a 10 million+ AAV throughout. I just don't see Lombardi bending much on that, and I think he will have a much more compelling argument in negotiating back diving years due to Kopitar's age.
Anyway, those are my thoughts.
Edit: Any deal over 60 million total will put Kopitar's career earnings in the 100 million dollar bracket. Hard to nickel and dime at that point.