The couple tied the knot in a private island ceremony last month and 37-year-old The Sing Off star said that the time has come to get baby marking.
He told E! Online, 'I'm doing everything I can. Trust me, it would make me happy. Family is very important. It's very important to us, and I'm sure that will be around the corner.'
Asked if he had any tips for reality star Kim Kardashian and her fiancé Kris Humphries, who like Nick and Vanessa, are planning on having their wedding broadcast on TV, he replied, 'I think I can safely say that I am not the one to give anyone marital advice.
'I'm sure that Kim and Kris will be just fine. She's got the whole reality thing figured out, so it should be seamless.'