Kinkaid won 4-3 at the Pittsburgh Penguins on Friday and 2-1 against the Tampa Bay Lightning on Saturday. He is 11-3-0 with a 2.26 goals-against average and .932 save percentage with one shutout in his past 15 games (14 starts).
Schneider hasn't won since Dec. 27, a 3-1 victory against the Detroit Red Wings, and has struggled in four starts since returning to the Devils net March 1 after missing 16 games with a groin/hip injury.
"At this time of the year, it's not about any one individual player, it's about the team and whatever is best for the team and Keith has been playing fantastic the last month and a half," Schneider said. "Even if I was playing well, Keith would give us a good decision to have in net one way or another.
"For me, it's about working hard, competing and being ready when it's my turn. You look at the past two Stanley Cup championships by the Penguins, and they needed both guys (Matt Murray and Marc-Andre Fleury down the stretch, so you never know what could happen."
Coach John Hynes will give Kinkaid his third straight start when the Devils play the Carolina Hurricanes at Prudential Center on Tuesday (7 p.m. ET; MSG, FS-CR, NHL.TV). New Jersey holds the second wild card into the playoffs from the Eastern Conference with 86 points, three ahead of the Florida Panthers, who have two games in hand.
"[Kinkaid] won back-to-backs against two elite teams, and I'd say got us the win in both," Schneider said. "He's been dialed in and he's a guy that when he's feeling the rhythm and going like that, he plays with a lot of confidence."