The Jets captain was elbowed in the head during a 4-3 win against the Ottawa Senators on Monday.
"He took the elbow last game, was fine, felt good, started to feel a little off yesterday and then today started not feeling great," Winnipeg coach Paul Maurice said Wednesday. "The word's concussion, but we don't have a diagnosis on that yet, but we're going to treat it as it is because we're obviously really careful with these things.
"So we're not bringing him. We don't want him flying in and out until we know exactly what's going to happen here. So he's out, I guess I'll say indefinitely, until we get this cleared up."
Wheeler has scored 32 points (10 goals, 22 assists) in 39 games this season for the Jets (23-13-3), who are second in the seven-team Scotia North Division, six points behind the first-place Toronto Maple Leafs. The top four teams will qualify for the Stanley Cup Playoffs.
Maurice said it was unknown whether Wheeler will be able to join Winnipeg at any point of the road trip, which ends at Toronto on April 15.
"The rules would be that he would have to fly privately, is my understanding," Maurice said. "We wouldn't be able to bring him in commercially. But we haven't thought about that. We don't want him on a flight. We don't want him in the air on an airplane until we know (the diagnosis).
"Blake felt fine. When he got to the bench, he felt fine. It was kind of a visor abrasion on his face, said he felt good, left after the game, said he felt good. So we just follow the rules and we're probably ahead of the rules because we don't have a diagnosis of that yet. But we're going to treat it like that, just in case, and go from there."
NHL.com independent correspondent Darrin Bauming contributed to this report
