As busy as he is, though, the Winnipeg Sun reports Cheveldayoff isn't on the verge of being pressured into making a trade.
"You have to develop a core and to develop it, you have to make some commitments to have some players around," Cheveldayoff told the paper. "We would like our core to get larger, to expand and that's all part of the process."
Winnipeg's players admit their frustrated with the team's overall performance this season, with the likes of forward Blake Wheeler and captain Andrew Ladd being the most vocal, as of late.
"You really take the losses hard and unfortunately, you gloss over the wins maybe a little too quickly to appreciate some of the good things that do happen," Cheveldayoff said. "That's the nature of this game. It's a very emotional game on the highs and the low side of it and certainly we've experienced a lot of that this year."
Cheveldayoff is also frustrated, and while he'd like to make a more or two to improve his club's chances at making the playoffs, he isn't about to press the panic button.
"In any situation, you're always looking to improve," he said. "If you're able to find a way to improve, you try to act on it but change doesn't always equate to improvement. Change can placate the different venues out there, but that doesn't necessarily mean that's the proper direction to go.
"Again, on this side of it, you make calls, you take calls, you're always talking to different people in the game as far as mangers, your scouts, to see if there are areas we can maybe make a change. But in this salary-cap world and this contract world, there's different things that come into play. There's multiple different avenues that seem like they're the way to go but there are 30 teams in this league are doing the same thing and trying to effectuate that ultimate move or change and that is to win the Stanley Cup. We can't get caught in the highs or the lows. You have to look at things for what they are."
Left wing Evander Kane has generated the most interest among Winnipeg's players, so far, but teams have also called about Ladd, defenseman Dustin Byfuglien and center Bryan Little.
While the Jets aren't likely to trade Ladd or Little, it has been widely speculated that Kane and Byfuglien could be had for the right price.
For now, though, talks will continue and likely carry out into the New Year.