The former World Superbike Champion remains in the Loma Linda University Medical Center in San Bernardino, California, being treated for the collapsed lung, cracked ribs and a dislocated left shoulder.
He will not be released until doctors can get his lung cleared.
The accident happened when Hodgson was competing on his motocross bike, which he does regularly to keep sharp. He hit a fallen rider's machine and went down hard.
“I can't believe it,” Hodgson said. “I’m lying on the track and literally I could not breathe, I couldn’t move and I just thought, ‘What happened?’. I went down so hard.
“It’s so unlucky. I always ride at 80 percent and I never do anything stupid when I’m motocrossing, and then this happens. You just never know. The day before I was riding in a pack of 100 cyclists going down a hill at 50 mph...
“I’ve got a tube in the lung now. Unfortunately, I can’t cough because of my ribs so I can’t get it to clear. And they won’t let me leave until that tube is gone."
Hodgson will be replaced by former Corona Honda rider Jake Holden for this weekend’s second round of the AMA Pro Road Racing Championship at Auto Club Speedway.
Hodgson now has a battle on his hands to be fit for the following round at Road Atlanta on the weekend of April 4-5.
Part of the decision will depend on whether he needs surgery for his dislocated shoulder and part on his lung injury.