It's been announced that at this point the expectations are that the cap will only increase by 1 million. Before the meeting's end, Bettman openly stated that he'd willing to negotiate with his NHLPA's counterpart, Marty Walsh, on this particular issue. Per the latest NHL-NHLPA Collective Bargaining Agreement extension dealt with in 2020, Bettman isn't obligated to do anything in that regard. Now the real question behind it is: what does the NHL want in return?
Per the article, if the claims were removed, Bettman would be open to talking about a serious cap increase. It was indicated that the cap could be going up to 3 to $3.5M as soon as next season. The players may be reticent since they're still due a large sum in escrow and nobody wants an increase on those, but even the owners are trending in the direction where they want the cap to go in an upward direction.