Kidd participated in shooting drills in a light Knicks practice on Thursday in advance of their game against the Milwaukee Bucks.
"We've been pretty good with him in the starting lineup," Woodson said.
Kidd doesn't anticipate playing with any minutes restrictions on Friday. But he'll likely continue to get treatment on his back.
"It's just a matter of making sure I take care of myself," Kidd said.
Kidd has been dealing with a back issue since last Thursday against Boston.
He sat out the Knicks' optional practice last Friday after feeling soreness against the Celtics. He also left the bench in the second half of games against Philadelphia and Atlanta on Saturday and Sunday, respectively, to get treatment and rest his back.
Kidd played just 15 minutes against the Sixers and five against the Hawks.
Woodson hopes to play Kidd for 20-25 minutes per game for the rest of the regular season to keep the 39-year-old fresh for the playoffs.
Kidd missed four games earlier in the season with lower back spasms. He said this most recent injury was similar to that ailment.