Snooki - also known as Nicole Polizzi - gave birth to her first child Lorenzo Dominic LaValle in August.
Rihanna has now made the babysitting offer on Twitter after Snooki complimented her song 'We Found Love'.
"Rihanna's 'We Found Love' will NEVER get old to me!!" she wrote. "My song for life."
Rihanna then retweeted the message, adding: "thank u! Lemme know if u need a sitter."
Snooki appeared to take her up on the offer, joking: "lmao you can babysit anytime auntie."
The reality star recently admitted that "everything changed" when she got pregnant with Lorenzo, saying: "The partying is long gone. I'm a new person."
Meanwhile, Rihanna is reportedly planning to premiere a new single on Monday (September 17).