The 42-year-old pop diva, who has twins with ex-husband Marc Anthony, began dating Smart soon after she split from Anthony, reported Showbizspy.
"He treats her like a queen. Casper centres everything on Jennifer. But her family worry that Casper will take advantage of her. She has fallen so hard," a source said.
Previously it was reported that Lopez wants to marry Smart.
"She's telling friends she wants to marry Casper. She's certain she wants to be with Casper forever. He provides what she hasn't had in years. He's very supportive and devoted. He exists only for her. Marc controlled her, and now she's in control," a source has said.