Following the game, Anthony said the knee has been bothering him for several weeks.
"It's just sore, not pain, sore and stiffness," Anthony said in a crowded corridor outside New York's locker room. "It's been going on for a while now."
The Knicks say no tests are scheduled and that he will be re-evaluated Tuesday.
"I don't know," Knicks coach Mike Woodson said of Anthony's injury. "We'll know a little bit more tomorrow when we get to Detroit. ... It was bothering him a little bit."
Anthony, who entered the game tied with Oklahoma City's Kevin Durant for the NBA scoring lead, said he underwent an MRI "a couple days ago." He said the test results were negative, and he does not yet know if he'll be able to play Wednesday night when the Knicks visit Detroit.
"Today I just woke up and you know how some days you really don't feel right," he said. "I came out here and I tried to warm up and I thought it was going to loosen up before the game, but some of the things that I was doing I felt like I was dragging it."
The All-Star forward hurt himself with about 6:41 remaining in the second quarter when he appeared to trip near midcourt without contact, and went to the locker room.
Anthony had six points on just 1-of-5 shooting and three turnovers before going out.
Information from The Associated Press was used in this report.