The Knicks announced his status Friday afternoon. The team says Anthony did not undergo X-rays to further examine the injury.
Anthony left the game midway thought the third quarter after a collision with Dwight Howard on a drive to the Lakers' basket.
Anthony hit the floor hard and landed awkwardly on his left ankle, and his lower left leg folded under his back as he hit the court.
After a few moments on the floor, Anthony stood up and gingerly walked to the free throw line. He hit 1-of-2 free throws and was subbed out of the game at the next dead ball for Steve Novak.
"It was a hard foul. I couldn't catch my fall," Anthony said after the Knicks' 116-107 win against the Lakers. "It was an awkward fall. Right now I'm sore."
On Thursday, Knicks coach Mike Woodson called Anthony day to day with a slight ankle sprain. General manager Glen Grunwald said he did not believe the injury was serious.
Anthony said his left ankle, knee and hip were "really sore" and said it was "too soon" to say if he was playing on Saturday.
"I'll wake up (on Friday) and see what happens," Anthony said.
The Knicks did not have practice Friday.
Anthony was in the midst of a fantastic offensive performance before he left with 6:33 remaining in the third quarter.
He scored 22 points in the first quarter -- two shy of the franchise record set by Willis Reed and Allan Houston -- and had 30 points on 10-of-15 shooting at the time of his exit. He played just 23 minutes.
"I was zoned in. I was locked in. Tonight was one of those games where I had that feeling," Anthony said.
He knocked down 3-of-5 3-point attempts against the Lakers and former Knicks coach Mike D'Antoni.
Anthony reportedly clashed with D'Antoni before he resigned as coach of the Knicks last March.
Anthony said he wanted to beat the Lakers on Thursday but added it had nothing to do with D'Antoni. Anthony was more concerned about protecting the Knicks' perfect record at Madison Square Garden.
With the win, the Knicks (17-5) improved to 9-0 at home this season.
Anthony missed two games earlier this month with a laceration on his left middle finger that required five stitches.
The Knicks went 1-1 with Anthony out, beating Miami by 20 points and losing to Chicago, both on the road.
"We're a team. We're in it and we're together," Tyson Chandler said. "We fight. When one guy goes down, another guy steps up. It has to be continuous throughout the entire year."