Drake is reportedly dating two older women.
The 25-year-old rapper - who has previously been in a relationship with Rihanna and was romantically linked with Nicki Minaj and Amber Rose - is said to have been secretly meeting with Rashida Jones after meeting the 36-year-old actress at the Sundance Film Festival earlier this year.
A source told In Touch Weekly magazine: ''She wants them to go public, but he's reluctant.''
Additionally, he was seen earlier this month with 38-year-old Tyra Banks - who split from John Utendahl after three years together in December - at Disneyland, with the pair appearing relaxed and happy in one another's company as they shared frozen yoghurt and tried out the rollercoasters.
Drake recently admitted his celebrity status led to him being rejected by a girl he liked a lot because she didn't want to put up with his showbiz lifestyle.
He said: ''I fell for somebody I liked so much. So, so much. Not a celebrity, just a normal girl.
''She was like, 'I won't be in a relationship with you, you're a rapper and I think more of myself than to go through the bulls**t; I can't read the rumors every day whether they're true or not.'
''That killed me. Damn, it was a lose/lose, a fight I can't even fight because she's already bowing out.''