Lindsay was recently involved in a violent argument with her mother and called her father Michael Lohan to claim that Dina was high on cocaine.
When the call was later leaked by Michael, Lindsay said that she was lying about the drug allegations and added that she was "done" with her dad after he recorded the discussion.
Dina is now urging her daughter to get a permanent order of protection against Michael and has also suggested the move to her other children, TMZ says.
The order would ban Michael from making any contact with his daughter, including phone calls, texts and emails. However, Lindsay is reportedly refusing to agree to the plan as she thinks it is too extreme and she does not want to go to court.
Michael has claimed that Dina's actions are a retaliation against him, saying: "I suppose Dina got wind that I want the court and Child Protective Services to investigate her."
Michael recently suggested that Lindsay is involved with a bad crowd and, following her claims that she is "done" with him, said that he knows she loves him.
Meanwhile, reports have suggested that Lindsay will sit down for an interview with Barbara Walters in the coming weeks.