Lohan is facing a variety of legal and financial problems including three misdemeanour charges from a June car crash as well as her arrest on suspicion of assault in New York City last week.
The Canyons star's bank accounts have also apparently been seized by the IRS because of alleged unpaid taxes.
Gibson, who has faced his own personal problems in recent years, weighed in on the controversy while attending the Four Kings and an Ace fundraiser this past weekend, revealing that he has tried to help Lohan in the past.
"I may [reach out] again," the Signs actor explained to Extra.
He added: "Well, we all know about [troubles]. It takes one to know one."
Lohan has also received the support of X Factor USA judge Demi Lovato , who chided gossip blogger Perez Hilton last week for his treatment of the Mean Girls star.
Watch Mel Gibson discuss Lindsay Lohan below: