The Mean Girls actress was recently seen canoodling with the DJ and Michael admits the pair are enjoying a romance.
He is quoted in Us Weekly magazine as saying: "The romance is evident to anyone with half a brain."
However, Michael - who is divorced from Lindsay's mother Dina - denied making the claims, and said he hadn't even seen the pictures of his daughter and Samantha.
He said: "Just like the topless Marilyn Monroe spread she did, Lindsay is my daughter and there are just some things a father doesn't want to see or hear, regardless of whether they are true or false.
"But she is a big girl, and she can make her own life choices. Then it is between her and God."
Lindsay, 21, is said to have recently told friends she wants to marry 30-year-old Samantha and was seen sporting a ring on her wedding finger at the Dolce and Gabbana party at the Cannes Film Festival in France.
The Georgia Rule star is reportedly planning a partnership ceremony with Samantha at Dolly Parton's Dollywood theme park in July.
Lindsay is also referring to herself as Lindsay Ronson.