Cheveldayoff plans on tinkering with his roster, but is expected to get Maurice's take on the roster before considering any further moves.
The Jets recently moved defenseman Dustin Byfuglien to the forward position, a change made by Noel and continued by Maurice. Byfuglien's name has been circulating around the rumor mill lately.
Injured left wing Evander Kane is still mending a busted hand, but should return to the lineup shortly. He has attracted the interest of several teams, including the Montreal Canadiens and Los Angeles Kings.
Forwards Blake Wheeler, Andrew Ladd, Devin Setoguchi and Michael Frolik, and defenseman Zach Bogosian, have also peeked the interest of a number of clubs, though nothing is imminent.
If the Jets part with any of their top-tier players, Cheveldayoff will want equal, similar or better talent in return.
The Jets are not interested in selling off their core players and are primarily interested in making a "hockey move."
"They want talent-for-talent," one league source recently told TFP. "This isn't like moving a rental player at the deadline. If they do anything, it's to help them move forward, not backwards."
Setoguchi and center Olli Jokinen are set to become unrestricted free agents July 1.
Jokinen has a modified no-trade clause, and might need to approve any deal the Jets try to complete.
Wheeler and Ladd also own limited no-trade clauses in their respective contracts, while Bogosian's no-movement clause doesn't kick in until later on in his contract.
TFP Editor-in-Chief David Pagnotta contributed to this report.