WINNIPEG — The Winnipeg Jets have quite the conundrum on their hands.

It’s nothing earth-shattering. It’s one of those problems you can file on the good-headache-to-have category, but it’s still something that needs to be addressed, one way or another.

The man central to the issue is center Paul Stastny

He’s the guy no one knew was coming to Winnipeg at the trade deadline until Kevin Cheveldayoff shipped a first rounder and a prospect to the St. Louis Blues to get, shortly after Blues general manager Doug Armstrong dangled Stastny in front of the playoff-charging Jets.

Everything clicked as soon as Stastny donned the Jets sweater in late February. The son of Hall of Famer Peter meshed immediately with superstar sniper Patrik Laine and the dancing Dane, Nikolaj Ehlers — two pillars of Winnipeg’s seemingly bright future.

Stastny slid perfectly in between the duo, providing a center that could play with the two gifted wingers. Stastny knew his role and played it well: feed the men on either side of him.

Laine and Ehlers gushed about Stastny, providing joy to the team and to fans alike.

The deal of the trade deadline was so satisfying that Jets are working hard to find a way to keep the goods for good.

And therein lies the problem.

How does a team with such a bevy of talent that needs to get paid to afford a player that’s tough to fit on the ledger?

CapFriendly will show that the Jets are currently at roughly $54.5 million when it comes to the salary cap. We know the cap will increase to $79.5 million this season, meaning the Jets have some $25 million to play with (and actually less when you consider they could have around $4 million in entry-level contract bonuses to pay out.)

To someone unaware of what the Jets are facing, it looks easy to fit Stastny in. But the Jets have 16 total restricted free agents, nine of which were on the team for most of the year and seven more in the minors.

And not all of them are low-priced restricted free agents either.

Connor Hellebuyck set several records on his way to being voted as the runner-up to Pekka Rinne for the Vezina Trophy.

Winnipeg’s top pairing on defense in Josh Morrissey and Jacob Trouba need money, too. They’re one of the best shutdown duos in the league. Trouba is looking long-term and for big money, while Cheveldayoff may be able to get Morrissey to sign a bridge. Either way, the money needs to be spent.

The Jets then need to lock up third-line center Adam Lowry, wingers Joel Armia and Brandon Tanev and defenseman Tucker Poolman and Joe Morrow while also figuring out what to do with Marko Dano and several aforementioned minor leaguers (who only count if they play in the Show.)

[On Paul Stastny and his impact with the Jets]

That $25 million goes quick, and the Jets will have Kyle Connor, who led all rookies with 31 goals, versatile forward Jack Roslovic and, of course, Laine to pay coming up as well.

Stastny isn’t looking to play for a pittance, of course, so there are some scenarios that must occur to make this work.

Let’s delve into them.

Trade money away

The best way to make room is to clean out some space.

As we saw this weekend with the Washington Capitals, they needed to move Brooks Orpik’s $5.5 million cap hit to make way for John Carlson’s eight-year, $64 million extension.

There are some options here for the Jets. Names that immediately come to mind are Trouba’s fellow d-man Tyler Myers, who’s cap hit for the Jets is $5.5 million per year, forward Mathieu Perreault at $4.125 million a year and goalie Steve Mason at $4.1 million with one year left on his two-year $8.2 million deal.

Trading Trouba isn’t desirable. He’s far too valuable an asset, but the Jets also have a kid named Sami Niku, who captured the American Hockey League’s best defenseman award in his rookie season, looking to earn a roster spot this season. If Trouba’s demands are too high, it might become the best option, but likely not until the 2019-20 season.

Myers is getting a lot for a third-pairing defenseman, but Jets head coach loves himself some Myers. Myers will be an unrestricted free agent at the end of next season, however, and the Jets won’t be able to afford him at his current price point then regardless. Moving Myers would be an option that makes the most sense if there’s a market for him. He’s a big man capable of playing a lot of minutes, and there are teams that need that, so it’s surely a possibility if the Jets are willing to explore it.

That said, and as already mentioned, Maurice likes Myers and uses him a lot on the penalty kill, on the second power-play unit and Maurice has already chatted with Myers, a right-hand shot, moving to the left side this season to perhaps play with Dustin Byfuglien with Toby Enstrom departing as a free agent.

It’s unlikely a team will want to risk paying Mason after his injury-plagued season. And trading Perreault, who can play anywhere in the lineup and make any linemates better, shouldn’t make sense from an organizational standpoint. He’s too valuable, even if he’s a little overpaid.

Wizardry on the balance sheet

Figuring this out seems a futile endeavor.

There are a lot of unknowns with the RFAs right now. At this point, the Jets have just seven players signed to contracts past next season.

If Cheveldayoff could just get every player he possesses to sign Mark Scheifele-type deals, the Jets would have a better team than they already do. But that’s just not the case.

Sure, Morrissey may take a bridge. Lowry might, too. But Trouba likely won’t, and even if he heads to arbitration, will make more than the $3 million he’s commanding on his current bridge contract.

Hellebuyck needs to be paid like the elite level goalie he is.

It’s tight, to say the least.

Sign Stastny short-term

Hockey Analytics guru Matt Cane’s prediction of Stastny’s next contract is three years at roughly $5.4 million annually.

The problem for the Jets isn’t the 2018-19 season, it’s the one after.

With Winnipeg’s biggest contract — Laine — still a year away from kicking in, and with the shedding of other contracts at the end of next season — Myers’ $5.5 million, potentially Blake Wheeler’s $5.6 million and Mason’s $4.1 million — the Jets could give Stastny a home for a reasonable price on a deal that would make sense for all parties.

Wheeler is going to want a big raise after his 91-point season, but he’ll be 33 after next season and may price himself out of Winnipeg.

But if Wheeler stays, it’s not crazy to think that Wheeler, Laine and Connor could make well over $20 million combined beginning in the 2019-20 season.

Breakup and remain friends

As good as the fling was between Stastny and the Jets, getting him signed might just not make sense in the end.

Laine needs a center. So does Ehlers. Roslovic could grow into that role. The Jets were a better team with Stastny, but have young players become a year older and better by the same token.

It was good while it lasted, but sometimes it just doesn’t work out.

Long story short

Much of this is guesswork. We look at the cap, we look at the players and we try to figure out what makes the most sense.

Simply, if Stastny wants to stay in Winnipeg, he needs to take less money and less term.

The benefit of him being in Winnipeg is he gets to play next to Laine and on a team that appears to have a solid window that’s open for a few runs at the Stanley Cup.

If he wants long-term security, he will look elsewhere. There will be no shortage of suitors willing to pay more, and for longer, for a productive center.

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Scott Billeck is a writer for Pro Hockey Talk on NBC Sports. Drop him a line at phtblog@nbcsports.com or follow him on Twitter @scottbilleck