The reality star spoke about her relationship during an appearance on GMA this morning when Lara Spencer pointed out that Jionni was in the studio.
Spencer, who also noted that Snooki's father was watching the interview, said: "Your dad said he wouldn't mind seeing Jionni become his son in law..."
Snooki replied: "He said that? Cool! Jionni is a great guy so I'm down for making guido babies with him... I have calmed down already. I don't hook up anymore. I love him to death. I'll always be this crazy, fun person but when it's time to get married I will be an amazing wife."
However, when Spencer questioned if marriage was on the cards, the reality star said: "Oh, not yet! I'm only 23 but eventually I would love to get married."
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Snooki, who joked that she wants a "big" engagement ring, remained coy when asked about The Situation's behaviour towards her on the season premiere of Jersey Shore last week where he seemed to suggest he might have feelings for her.
She said: "Me and Mike have always been really good friends and we can talk to each other about everything but [there was] a lot of drama in Italy... You'll have to wait and see what happens!"
As for co-stars Pauly D and Deena, who hooked up in the season premiere, Snooki would only tease: "Deena has always had a little thing for Pauly and thought he was hot. Just them kissing, stuff happens..."
Jersey Shore broke records on its season four return last week, recording 8.8 million viewers on Thursday night. It continues tomorrow night at 10pm on MTV.
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Watch more of Snooki's interview on GMA below: