A big cap jump is already baked in, anyone saying otherwise isn’t following it correctly, not meaning to direct this at you guys here.
The lag formula introduced in the MoU that takes over once COVID escrow is paid off (that will happen early next season, they almost made it this season according to NHL) dictates, in simple terms, that HRR two season prior will set the cap for a coming season. That means the HRR for the season that just finished (22-23) will set the cap for 24-25. Gary has suggested this year was “pushing 6 billion” in HRR. There are some sources suggesting 5.7 is about the right number.
All this adds up to at a minimum a normally max allowed by MoU 5% year to year cap increase to something between 87.5 and 88, unless they hit some triggering conditions where the league doesn’t actually pay the players 50% of HRR, which would allow an increase of up to 10%. That's not impossible to see either, bringing it in as high as 92 per team, albeit a less likely scenario.
Never even mind generationally high inflation driving HRR higher by default for the next couple cap calculations.
The cap is jumping big for at least the next couple seasons, guaranteed, the cap has artificially fallen behind the HRR formula because of the escrow deficit. The league knows it, the players know it, agents know it, teams know it, it’s a legit consideration for FA’s this year.