Stewart remained coy on the status of the pair's romance when she was interviewed on the show yesterday, joking that she chooses to keep fans guessing.
When Pattinson was asked about his relationship on the programme this morning, he quickly changed the subject.
He said: "What I want to ask is - we get asked it all the time and it's funny, because everyone always asked for like four years - who is actually asking? Is it in your contract?"
Pattinson was then asked whether he is annoyed by personal questions but replied: "It doesn't have to be [personal]. It only becomes personal if you answer it. I can just sit here and talk nonsense about paper rounds and stuff and getting old and needing a nap!"
The actor also revealed during the interview that he is not a fan of his 'R-Pattz' nickname.
"I literally, I don't understand what the nickname culture is," he said. "If I could figure out a way to get rid of that, it would be amazing. It does sound like an antacid tablet!"
The Twilight Saga: Breaking Dawn - Part 2 opens on November 16.
Watch Robert Pattinson on Today below: