The ‘Machete’ actress – who is undergoing treatment for drug abuse at the Betty Ford Clinic in California – is hoping that by granting Michael’s visitation requests she will be able to stop his repeated public pleas for her to allow him to see her.
A source close to Lindsay and her mother Dina – who both agreed Michael should be banned from seeing her - said: "It's gotten to the point where Lindsay told Dina, 'Mommy, maybe I should just let him see me because then he'll go away and he'll stop.
"Dina knows she needs to slowly build a truce here because it's all got to stop. But they've given him so many chances."
However, the 24-year-old star is said to have grown infuriated with Michael again after he was pictured attending reality TV star Tila Tequila’s recent 29th birthday party, despite promising to stay out of the spotlight.
The source added to RadarOnline.com: "Lindsay does know about her dad going to Tila's birthday bash. She does hear things even though she's in rehab.
"How would you feel if this was your dad? She's humiliated.
"Her feeling is, how dare Michael say he wants to make closure when he does something like that? He preaches 'people, places, things' but his actions are a total contradiction. He says he wants to mend fences, and then he goes to this girl's birthday.”
It was recently claimed that Michael was planning to get drunk just so he could check himself into the rehab clinic to meet with his daughter.
The showbiz patriarch intended to show up at the Los Angeles facility and if the actress refused to see him, he would get drunk, go back to the centre whilst intoxicated and cause a scene, and was even prepared to stage his own arrest to try and get close to his daughter.
Lindsay – who voluntarily entered the facility last month – was told by a court last week that she must stay in rehab until January 3.