The Twitter power couple have threatened to sign off, according to a report in the New York Daily News, if Twitter's involvement in a reality show comes to pass.
Yesterday, Twitter founder Biz Stone rejected speculation that the micro blogging service was developing a TV show, but said it has come to an agreement which could see it feature in a series showing people tracking down celebrities.
Variety.com reported that the San Francisco-based micro blogging service had partnered with Reveille Productions and Brillstein Entertainment to develop an unscripted TV series that puts "ordinary people on the trail of celebrities in a revolutionary competitive format".
On his Twitter feed Kutcher posted: "Wow, I hope this isn't true. I really don't like being sold out. May have to take a twitter hiatus."
Kutcher recently won the race to sign up more than a million followers on Twitter beating CNN.
Kutcher's wife Demi, who posted photos of herself with a missing front tooth over the weekend, echoed her husband: "I hope this isn't true -- if it is, our Twitter time may come to a quick and sad end!"
Stone responded to the article on his blog yesterday: "There is no official Twitter TV show -- although if there were it would be fun to cast.
"In dealing with networks and production companies we sometimes have simple agreements.
"Regarding the Reveille and Brillstein project reported today, we have a lightweight, non-exclusive, agreement with the producers which helps them move forward more freely."
The series concept was created by novelist Amy Ephron who is the author of six novels -- her latest is 'One Sunday Morning'.
Ephron's national bestseller, 'A Cup of Tea', spent 37 weeks on the LA Times bestsellers list and has been bought by film producer Jerry Bruckheimer.
Jon Liebman, chief executive of Brillstein, said: "We've found a compelling way to bring the immediacy of Twitter to life on TV."
Reveille is the production company behind the US version of 'The Office', and Brillstein produced 'The Sopranos'.