James has sidestepped several opportunities in recent weeks to clarify his feelings about participating in Rio de Janeiro.
"I'm just now hearing about Steph pulling out," James told reporters. "But my decision has never been on anyone either playing on the team or being invited or not playing. I haven't made a decision yet and I probably will make it right after the season is over."
The Cavaliers trail the Warriors 2-0 in the best-of-seven series. Game 3 is Wednesday in Cleveland.
Speculation pins James as being tired from six straight NBA Finals appearances and playing more than 100 NBA games per season. He also is reportedly concerned about the Zika virus with it wreaking havoc in the South American country.
Curry cited the need to rest his body -- he suffered ankle and knee injuries in this postseason -- as one of the factors in his decision.
Meanwhile, USA Basketball announced the 25 players chosen to be part of the USA Men's Select Team and the list is full of young NBA players.
NBA Rookie of the Year Karl-Anthony Towns is the obvious omission, but Towns will be playing for the Dominican Republic in the Olympics.
Current NBA players selected were Devin Booker (Phoenix), Kentavious Caldwell-Pope (Detroit), Willie Cauley-Stein (Sacramento), Aaron Gordon (Orlando), Jerami Grant (Philadelphia), Gary Harris (Denver), Rodney Hood (Utah), Stanley Johnson (Detroit), Zach LaVine (Minnesota) C.J. McCollum (Portland), Doug McDermott (Chicago), Emmanuel Mudiay (Denver), Jahlil Okafor (Philadelphia), Jabari Walker (Milwaukee), Julius Randle (Los Angeles Lakers), D'Angelo Russell (Los Angeles Lakers), Marcus Smart (Boston), Myles Turner (Indiana), Justise Winslow (Miami) and Cody Zeller (Charlotte).
Players who were in college last season and were chosen include Malcolm Brodgon (Virginia), Kris Dunn (Providence), Brandon Ingram (Duke), Brice Johnson (North Carolina) and Denzel Valentine (Michigan State).
"Being chosen for the Select Team is an honor and it is an important step in becoming involved in USA Basketball's National Team program in the future," USA Basketball National Team managing director Jerry Colangelo said in a statement. "Current national team players like Kevin Durant, Kyrie Irving, Klay Thompson, Kevin Love, Russell Westbrook, as well as many other outstanding players, got their USA National Team start through a Select Team."