The `Mean Girls` star - who was released from the Betty Ford clinic last week after completing a three-month court-ordered rehabilitation programme - has become close to the `Inception` actor after being introduced by mutual friends.
Sources claim Tom - who has been sober since 2003 after battling his own drink and drug addiction - has been advising the 24-year-old actress on how to stay away from temptation and she has been taking his words seriously.
As well as befriending Tom, 33, Lindsay is set to get a new housemate.
The `Machete` star recently moved to a new pad in Venice Beach, Los Angeles, but won`t be living there alone as a patient she met at the Betty Ford clinic will also be moving in.
The girl - who has been sober longer than Lindsay - will share the place and won`t pay any rent because she is struggling for cash at the moment, reports gossip website TMZ.
Lindsay has also been seen out with ex-girlfriend Samantha Ronson and while they had dinner in West Hollywood over the weekend, insiders insist they are not back together.