The Spurs provided no information regarding Leonard's status.
Although Leonard, who was named to the All-NBA first team on Thursday, did not take part in the practice, several players told ESPN.com that he was at the club's practice facility.
"He was sitting nicely on the sidelines. It's going well, as well as it can go," center Pau Gasol said. "We have a good training staff. He's working with them, and trying to get that ankle right. That's what I know."
Leonard reinjured his left ankle Sunday during the second half of San Antonio's 113-111 loss to the Golden State Warriors in Game 1 of the Western Conference finals.
"The thing that worries me is that he did it again, the exact same thing," Spurs coach Gregg Popovich said after Game 1. "So, one would logically think maybe it will take longer, but I'm hoping that's not true and we'll have him for Game 3."
The Spurs led by 23 points when Leonard was forced to leave Game 1 in the third quarter. Since then, the Spurs have been outscored 194-133 by the Warriors, who hold a 2-0 series lead.
Leonard was injured when he landed on the foot of Warriors' center Zaza Pachulia.
Pachulia is listed as day-to-day with a bruised right heel suffered in Game 2.