The singer, who married Danielle Deleasa in late 2009, opened up about his family's expectations for children.
"People are like, 'All right guys, what's your plan? When are you going to have those grandkids?'" Jonas says in a clip from his new E! reality series Married to Jonas.
"I'm starting to feel that pressure a little bit," he adds.
Meanwhile, his wife claimed that she feels disinterested when it comes to talking about children these days.
"My mum wants a grandkid bad," Deleasa says in the clip. "It's getting boring now."
The Jonas Brothers previously said that they could have a new album out by the end of 2012.
Married to Jonas premieres on August 19.