Maurice was brought in mid-season when Claude Noel was sacked by the slumping Jets, who just finished out of the playoffs for the third straight season in Winnipeg and seventh straight for the former Atlanta franchise.
They played better after the coaching change but still finished exactly where they did in their first season under Noel in their new home, with 84 points.
Maurice says he wants to return as head coach but his family comes first and they must share in his decision.
Jets captain Andrew Ladd says the players want him back as well.
Ladd says he believes they can continue to develop and find more of the consistency they showed in the last half of this season.