Kovalchuk, who turned 30 today, will miss his 10th straight game on Monday with a right shoulder injury. The Devils visit Air Canada Centre to face the Toronto Maple Leafs.
According to Devils coach Pete DeBoer, Kovalchuk had a good skating session on Sunday and will skate again on Monday in New Jersey.
"I would call him day-to-day," DeBoer told local reporters. "My conversation with [Kovalchuk] before we left New Jersey [Sunday] was he had a good day [Sunday] morning, he was going to try to have another good one [Monday] and we would talk tomorrow morning."
The Devils, No. 11 in the Eastern Conference with 15 wins and 40 points, are scheduled to visit the Flyers on Thursday before returning home to Prudential Center on Saturday to play host to the Florida Panthers. The Devils have lost nine straight (0-5-4) since Kovalchuk sustained his shoulder injury on March 23. New Jersey is closing in on the team record of 10 straight defeats, which was set Oct. 14 to Nov. 4, 1983.