Refaeli, who is reported to have had an unstable relationship with DiCaprio in the past, allegedly wants to prove that she would make a good wife.
According to Showbiz Spy, a source said: "These two keep breaking up and getting back together. Bar wants Leo to settle down.
"She is willing to try anything, including studying up on his favourite sports - especially basketball and the LA Lakers.
"Bar has become a fixture at the Lakers games and even watches with Leo at his local sports bar, Goal, in Hollywood.
"She decided that if she was going to show him she was the ideal wife, she needed to start watching sports with him."