The 26-year-old rapper, who has been dating the 'Love Me Harder' hitmaker for six months, admits he hopes to marry her and start a family in the future, but insists they are in no rush.
Discussing their relationship, he said: ''It's pretty serious.''
Asked if the 21-year-old beauty is going to ''get married,'' the star - whose real name is Sean Michael Anderson - smiled and told 'Larry King Now': ''Aw, man. Not right now.''
But when the 81-year-old chat show host said: ''Get a Little Sean someday?'' the 'Dark Sky Paradise' hitmaker responded: ''Eventually, that's the goal.''
Big Sean previously admitted he appreciates ''every moment'' with Ariana and can talk to her about anything because they were good friends before they started dating.
He said: ''It was cool to have a girl that I could talk to about my problems. I did that with her. It's not some fake-a**, inauthentic s**t when I say we were friends. This is something special and I appreciate every moment of it.''
The rapper split from ex-fiancée Naya Rivera last April.
The 'Glee' star recently announced she is expecting her first child with husband Ryan Dorsey, who she married last July after a whirlwind romance.
The actor says he isn't "holding out for more money or doing anything like that".
The drama will be making its return to the streaming service in the near future.
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