Wheeler and Byfuglien will play for Team USA at the World Cup of Hockey 2016. The eight-team tournament will take place at Air Canada Centre in Toronto beginning Sept. 17.
Scheifele, 23, agreed to terms on an eight-year, $49 million contract (average annual value $6.125 million) with the Jets on July 8. He had NHL career-highs of 29 goals and a plus-16 rating last season.
"Mark is a very, very bright man, a very quick learner and already been studying the art of leadership," Maurice said. "He asked those questions from different captains and people that he knows. We expect that, even though he's a very young man, will step into that role.
"The pressure that's coming is there with or without the 'A'. When you become a driver on a team, when your minutes go up to the point you affect the outcome day in and day out, we believe he can handle it. We know we can. Mark's a really good candidate now and in the future."
Byfuglien, 31, enters his seventh season with the Thrashers/Jets franchise, and had 53 points (19 goals, 34 assists) last season. He played the first five years of his NHL career with the Chicago Blackhawks, winning the Stanley Cup in 2010.
"Dustin Byfuglien is such a presence on and off the ice," Maurice said. "Anytime there's kids around the room he puts a smile on all their faces. So we really have good men that understand that it's important to reach out and be a part of it. These guys are committed to the Winnipeg Jets and committed to the style of play that we want to play. That leadership from them certainly trickles right through the room."