The actress, who is the real-life wife of Office star John Krasinski, joked to E! Online that the show has turned her down in the past.
"Oh yeah, I would love to do it!" she said. "I'm... clawing at the door [but] they're like, 'No, sorry'."
The Gulliver's Travels star admitted that she would like to play a love interest for Krasinski's Jim Halpert.
"John obviously has loyalty to [on-screen wife] Jenna Fischer," she explained. "I'm just aiming too high."
The Office will return to NBC on January 20.