Just before departing for Nashville on Friday, the Jets announced Byfuglien will miss 2-4 weeks because of an upper-body injury sustained Wednesday in a 3-1 loss to the Ottawa Senators.
The Jets recalled center Eric O'Dell from St. John's of the American Hockey League to replace Little.
"It may be longer than this trip," Maurice said of Little, who will make the road trip. "There's a chance he plays toward the end of it. There is a chance we'll know more in 5-7 days on that."
Defenseman Mark Stuart was hit in the face by a puck in practice Friday. Maurice said Stuart was being evaluated and his status had not been determined.