"If he ever needs me to babysit, I'm here," Vinny told RadarOnline.com at the F*CK Cancer Charity Event in New York City.
Although he's happy to take care of Pauly's offspring, he's not quite ready for fatherhood himself.
"I'm only 26. I'm not ready for kids yet.
"I come from a big family though, so down the road, I see myself having a family, but not right now," he revealed.
"Pauly is going to be an amazing dad. He's the hardest working guy I know," Vinny said. "She'll definitely have his swag. Pauly will keep his kid looking fresh."
He also dished that Pauly is going to be keeping a watchful eye on his baby girl, especially when it comes to dating.
"He'll be protective of her. Pauly, he's cool, but he can fight. I'd tell those guys who try to date her to be very careful," he joked.