The golfer continues his recovery at the Cedars-Sinai Medical Center in Los Angeles after undergoing surgery on his leg.
“Woods was transferred to Cedars-Sinai Medical Center for continuing orthopaedic care and recovery,” Harbor-UCLA Medical Center interim CEO Anish Mahajan said on the hospital’s Twitter account.
“It was an honour to provide orthopaedic trauma care to one of our generation’s greatest athletes.”
Woods suffered serious leg injuries when his car hit a kerb and then a tree before rolling several times on the border of Rolling Hills Estates and Rancho Palos Verdes in Los Angeles on Tuesday morning.
No other cars were involved.
The Los Angeles County Sheriff said Woods would not face criminal charges in the crash, claiming the sportsman was “not drunk” at the wheel and that it was “purely an accident”.
But he said investigators may seek warrants for a blood sample to definitively rule out alcohol and drugs.
Investigators are expected to rely heavily on data stored in the Genesis SUV he was driving to figure out what happened.
The 2021 GV80, made by Hyundai, is likely to have a newer version of event data recorders nicknamed “black boxes” after more sophisticated recorders in airplanes – which store a treasure trove of data for authorities to review.
Detectives could also apply for warrants for the golfer’s phone to see if he was driving distracted.
The 15-time major champion was cut free from the vehicle and rushed to Harbor-UCLA Medical Center where he underwent surgery.
The Cedars-Sinai Medical Center, where he is now, is ranked as the second-best hospital in the western US in the US News and World Report.
Woods, who recovered from numerous surgeries to win the 2019 Masters in a successful comeback, has received an outpouring of support from his celebrity friends, athletes and former US Presidents Donald Trump and Barack Obama in the wake of the crash.
“Get well soon, Tiger. You are a true champion!”, Mr Trump tweeted.
Mr Obama wrote: “Sending my prayers to @TigerWoods and his family tonight – here’s to a speedy recovery for the GOAT of golf. If we’ve learned anything over the years, it’s to never count Tiger out.”
Actress Jada Pinkett Smith, 49, who had been playing golf with Woods the day before as part of a promotional project, tweeted: “Prayers up for the GOAT @TigerWoods who was in an accident this morning. Was just with him yesterday.
“Don’t take not even a MOMENT for granted! I know you’re good because your Tiger within is a beast!!!”
Former baseball player Alex Rodriguez, 45, the fiance of Jennifer Lopez, wrote: “Praying for my brother @TigerWoods as we all anxiously await more news. Thinking of him and his entire family.”
Match Of The Day host Gary Lineker, 60, added: “Thoughts are with @TigerWoods. Hope it’s not as serious as appears.”