The oft-troubled actress has allegedly been offered "upwards of six figures" by David Drew "Dr. Drew" Pinsky and the show's producers to appear as a participant in an upcoming installment of the VH1 reality series, sources close to Lohan told ABC News in a Tuesday report.
Representatives for Pinsky declined comment, while a Celebrity Rehab spokeswoman would only comment on the show's third season -- the cast of which was announced earlier this month.
"At this point, there is no fourth season," the spokeswoman told ABC News. "We're currently in production on season three and look forward to its early 2010 premiere."
Despite Pinsky's desire to stay mum on Lohan's potential Celebrity Rehab appearance, he was apparently willing to criticize her lifestyle last week in Parade magazine.
"I'm convinced that she'll get sober one day. But I'm afraid that between now and then, she may get a nearly mortal wound of some type," he told Parade, according to ABC News.
"I'm really convinced that something horrible is going to have to happen to her before she really gets over it and embraces sobriety. She needs to give it up. And it's going to be a while before she does. I have this image that she's going to lose a limb or something before she does. And it scares me."
Not surprisingly, Lohan wasn't very accepting of the advice, according to ABC News.
"I thought REAL doctors talk to patients in offices behind closed doors," Lohan reportedly wrote in a Friday Twitter post. "Am I wrong? Hmmmmm. I think NOT! Yay!"
Still, Lohan's father Michael thinks his daughter could benefit from some help from Pinsky -- whether it's filmed for Celebrity Rehab or not.
"Dr. Drew has what it takes to help anyone that has any kind of problem. It doesn't have to be drugs, it doesn't have to be alcohol, it can be any kind of emotional or psychological problem," Michael told ABC News.
"She's out there drinking and partying and she should not be doing that. People see her drinking. She should stay away from it. With the drugs, I think she's in a much better place than she used to be. But I have a problem with her being even on prescription medication."