Per ESPN.com's Chris Haynes, Green will have an MRI on Wednesday to determine the severity of his knee injury.
The Warriors announced Green's injury as a strained left knee. He was injured late in the third quarter while driving to the basket when his leg appeared to buckle as he pulled up for a shot against Rockets forward Trevor Ariza.
Green told TNT's David Aldridge he will "be fine." Anthony Slater of The Athletic noted the Warriors star did receive treatment on his leg after the game but was "not limping bad and doesn't have any type of brace on it."
After Green left Tuesday's game, the Rockets outscored the Warriors 34-20 in the fourth quarter and erased a 12-point deficit to earn a 122-121 victory.
Green nearly recorded a triple-double in the loss with nine points, 13 assists and 11 rebounds. He led the Warriors with an average of 7.0 assists and finished second with 7.9 rebounds in 76 games last season.
🔥 Top Videos from Around B/R 🔥
B/R Looks Back on Tracy McGrady Scoring 13 Points in 35 Seconds in 2004
Tracy McGrady Scored the Most Impressive 13 Points of His Career in 35 Seconds
Butler Is the NBA's Biggest Country Music Fan
On This Day in 2012, Kobe Joined Elite NBA Club
NBA Handshake Fails
Is It Officially Panic Time in OKC?
Simmons Finally Faces 'Big Brother' LeBron
Leave Lonzo Alone, He's Only 20
The Boston Celtics Are on Top of the NBA
Gregg Popovich Has the San Antonio Spurs Rolling at Home
It's Early, but Stevens Is the Coach of the Year
Shaq and Chuck Used to Get into It on the Court
LeBron Isn't Worried, but Maybe He Should Be
NBA Superstars Are Cruising by Scoring Milestones
This Lakers Rookie Is Ready to Take Over the NBA
LeBron James Jr. Is More Than Just His Famous Name
Growing Up: Damian Lillard Tells Us How He Improved His Jump Shot as a Kid
Growing Up: the Game That Showed Isaiah Thomas He Could Be an NBA Star
Growing Up: How Kyrie Irving Became One of the League’s Most Lethal Scorers