Senators coach Guy Boucher said he has a number of lineup decisions to make, and White, who has played in two NHL games totaling 34 shifts and 27:25 of ice time, is among the players who might play in the possible elimination game.
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White signed with the Senators on April 2 after finishing his second season at Boston College. The No. 21 pick in the 2015 NHL Draft, White made his NHL debut on April 3 and played in the regular-season finale against the New York Islanders on April 9.
White skated in warmups before Game 5, but he was scratched and Ottawa used seven defensemen and 11 forwards.
"We've had [White] in mind for a long time," Boucher said Tuesday. "It's just we felt some other guys that had been with us all year, [had] more experience and [were] more used to what we were doing and a little more apt to help us at that moment. The last few games, because of our center situation right now, he's been in consideration and he still is for [Game 6]. He's a guy who is a really smart player, has got speed, tons of speed, a guy that drives the net and is very reliable on both sides of the ice. That's why we're considering him. If he wasn't that good, there would be no consideration.
"You don't want to expose him, either, to something he can't handle. We just feel right now that he's been around the team, has been part of the meetings, and I think right now he's a possibility because we need him."