"We might be together a long time before we think about kids," model-actress Grant, 31, said at last weekend's New York Comic Con, which she attended with Green, 36.
For now, the fanboy couple is focusing on each other – and on scoring laughs, having recently teamed for a viral parody of Katy Perry's "California Gurls."
"Have you seen that Geek and Gamer Girls video [Clare] and her friends made?" asked Green, who contributes a rap spoof to the video. "That's all authentic! That's not my influence."
From their first meeting – in a comic book shop – to their May 1 wedding at a vineyard in northern California, Green and Grant have been unabashed about their geek love. (His Comic Con appearance was linked to the season-five launch of the Adult Swim's Robot Chicken. He's also working on a Star Wars animated comedy, which he's launching with pal George Lucas.)
"We just really like each other," says Green, who is also currently producing the reality-show experiment Control TV. "I can just watch her play video games for hours and hours."