While Kane seeks a point in a 12th straight contest, Jagr tries to extend his point streak to eight and lead the Devils to a fourth win in five games Monday night at the United Center.
Kane has six goals and 14 assists during an 11-game run, and at least one point in 23 of his last 24 - 37 total - to move to second in the league behind Pittsburgh's Sidney Crosby. Kane's 12-game point streak ran from Nov. 3-27.
Kane had a goal and an assist to help give Chicago a 2-0 lead Friday against Vancouver, but the Blackhawks couldn't hold that advantage and lost 3-2 after an eight-round shootout.
Chicago, 5-1-1 in its last seven, also had a streak of 10 consecutive games with at least one power-play goal snapped by going 0 for 4 against the league's best penalty kill unit.
"I thought our power play might have let us down a little bit tonight," Kane said. "We didn't really create any momentum off of it and they probably got momentum off them killing them off, so it's something we'll try to improve on."
The Blackhawks (25-7-6) now face a Devils penalty kill that's given up just five goals in the last 43 times it's been short-handed (11.6 percent).
New Jersey (15-15-7) is 3-0-1 since Dec. 14, and Jagr has two goals and nine assists in his last seven games. The 41-year-old winger had a goal and two assists in a 5-4 overtime win over Washington on Saturday.
"He amazes me every night I come to the rink," coach Pete DeBoer said. "I don't have a lot more adjectives to describe him, but he's a pleasure to work with."
After falling in overtime to Anaheim on Friday, the Devils rallied from a two-goal deficit in the third period against the Capitals. Dainius Zubrus tallied the tying goal with 8:13 remaining and defenseman Andy Greene capped a three-point night with the game-winning score.
"I thought we responded very well when we were down two goals, and it's a big win for us," Jagr said.
Jagr's next goal will push him past Mark Messier for seventh all-time, and he needs three points to pass Mario Lemieux for seventh on that list.
Jagr has 13 goals and 14 assists in 25 all-time regular-season games against the Blackhawks but hasn't scored against them since 2002.
New Jersey has won the last two matchups with Chicago and is making its first trip to the United Center since a 5-3 victory Nov. 3, 2010.
Kane has two assists in six career games versus New Jersey, and the Devils are one of two teams he's never scored a goal against, along with Pittsburgh.