Three-time Olympic medallist James and nine of the players from the successful 2016 campaign in Rio were included on the list announced by USA Basketball on Monday.
Should the Los Angeles Lakers star make the final 12-man roster, he will join Carmelo Anthony as the second player to represent Team USA at four separate Games.
Kevin Durant and Klay Thompson won gold in Brazil four years ago and have made the cut despite being yet to play a minute in the NBA this season due to respective Achilles and knee injuries.
Curry was named despite being sidelined since October with a broken left hand.
All 12 members of the USA's 2019 FIBA World Cup team remain in the running, with 21 NBA franchises represented in the 44-man list.
Head coach Gregg Popovich said: "I'm looking forward to coaching the U.S. Olympic Team, and I'm excited about the potential and possibilities this team has.
"Anyone who follows international basketball knows there are many really good players from all around the world, and therefore there are many excellent national teams.
"International basketball has improved so much from the days of the 'Dream Team'. The Olympics in 2020 will be a true competition, and there are many teams that will have a legitimate shot at capturing gold."
Finalists for the USA's Tokyo 2020 team:
Bam Adebayo (Miami Heat), LaMarcus Aldridge (San Antonio Spurs), Harrison Barnes (Sacramento Kings), Bradley Beal (Washington Wizards), Devin Booker (Phoenix Suns), Malcolm Brogdon (Indiana Pacers), Jaylen Brown (Boston Celtics), Jimmy Butler (Miami Heat), Mike Conley (Utah Jazz), Stephen Curry (Golden State Warriors), Anthony Davis (Los Angeles Lakers), DeMar DeRozan (San Antonio Spurs), Andre Drummond (Cleveland Cavaliers), Kevin Durant (Brooklyn Nets), Paul George (Los Angeles Clippers), Draymond Green (Golden State Warriors), James Harden (Houston Rockets), Montrezl Harrell (Los Angeles Clippers), Joe Harris (Brooklyn Nets), Tobias Harris (Philadelphia 76ers), Gordon Hayward (Boston Celtics), Dwight Howard (Los Angeles Lakers), Brandon Ingram (New Orleans Pelicans), Kyrie Irving (Brooklyn Nets), LeBron James (Los Angeles Lakers), Kyle Kuzma (Los Angeles Lakers), Kawhi Leonard (Los Angeles Clippers), Damian Lillard (Portland Trail Blazers), Brook Lopez (Milwaukee Bucks), Kevin Love (Cleveland Cavaliers), Kyle Lowry (Toronto Raptors), JaVale McGee (Los Angeles Lakers), Khris Middleton (Milwaukee Bucks), Donovan Mitchell (Utah Jazz), Victor Oladipo (Indiana Pacers), Chris Paul (Oklahoma City Thunder), Mason Plumlee (Denver Nuggets), Marcus Smart (Boston Celtics), Jayson Tatum (Boston Celtics), Klay Thompson (Golden State Warriors), Myles Turner (Indiana Pacers), Kemba Walker (Boston Celtics), Russell Westbrook (Houston Rockets), Derrick White (San Antonio Spurs).
Photo Getty Images Caption: LeBron James last represented the United States at an Olympics in 2012