Any NBA player who wants to be considered for the 2016 Olympic team must report to the three-day Team USA minicamp in Las Vegas, which starts Tuesday. But Kevin Durant and Carmelo Anthony will reportedly go several steps — literally — beyond just showing up, as the two superstars are set to participate in light workouts.

This comes as big news, because both players are recovering from major injuries that caused them to miss huge chunks of the 2014-15 NBA season. Durant, who required foot surgery, played in just 27 games for the Thunder, missing the final 28. Anthony underwent knee surgery after playing in just 40 games for the Knicks, and he sat out the final 29.

The pair of perennial all-stars will join other Team USA hopefuls in non-contact practices on Tuesday and Wednesday, according to ESPN’s Marc Stein. However, neither will play in a nationally televised scrimmage on Thursday.

“Kevin has been incredibly disciplined in his return to play protocol and he’s now at the stage where he can participate in non-contact drill work,” Thunder General Manager Sam Presti said. “We are excited he is at the point where he can take part in portions of the minicamp, as he has demonstrated great focus throughout his recovery efforts.”

On the one hand, Presti and all Thunder fans will be holding their collective breath, hoping that Durant’s surgically repaired foot is ready to withstand even light drills. On the other hand, the fact that he is doing more than simply showing his face has to be taken as great news regarding his progress, as the forward tries to regain the form that made him the 2014 NBA MVP.

A healthy Anthony, meanwhile, is the key to any hopes the Knicks have of simply not being dreadful again. The team was bad even when he did play last season, and it ultimately finished 17-65, the worst record in franchise history and the second worst in the NBA last season.

Unlike Durant and Anthony, LeBron James has nothing to prove, or gain, by participating in the Team USA practices, so he will fulfill the attendance requirement before heading back to Ohio. The Cavs star, widely viewed as the best player in the NBA, will likely be given until after the upcoming season to decide whether he will play in the Olympics.

There are 34 players in the pool to be considered by USA Basketball for the Olympic team. They are:

LaMarcus Aldridge, Spurs
Carmelo Anthony, Knicks
Harrison Barnes, Warriors
Bradley Beal, Wizards
Jimmy Butler, Bulls
Michael Carter-Williams, Bucks
Mike Conley, Grizzlies
DeMarcus Cousins, Kings
Stephen Curry, Warriors
Anthony Davis, Pelicans
DeMar DeRozan, Raptors
Andre Drummond, Pistons
Kevin Durant, Thunder
Kenneth Faried, Nuggets
Rudy Gay, Kings
Paul George, Pacers
Draymond Green, Warriors
Blake Griffin, Clippers
James Harden, Rockets
Tobias Harris, Magic
Gordon Hayward, Jazz
Dwight Howard, Rockets
Kyrie Irving, Cavaliers
LeBron James, Cavaliers
DeAndre Jordan, Clippers
Kawhi Leonard, Spurs
Kevin Love, Cavaliers
Victor Oladipo, Magic
Chandler Parsons, Mavericks
Chris Paul, Clippers
Mason Plumlee, Trail Blazers
Klay Thompson, Warriors
John Wall, Wizards
Russell Westbrook, Thunder