According to a magazine this week, the former Desperate Housewives star wasn't interested when George made it clear he fancied her in the past.
Although there's no doubting they would have made an incredibly good looking couple, Eva's taken to Twitter to say that it just isn't true.
Eva tweeted: "As interesting as the George Clooney rumours are, they aren't true. George and I have been friends for years."
The actress is currently loved-up with boyfriend Ernesto Arguello, and the pair were recently seen enjoying a romantic holiday together in Paris.
As interesting as the George Clooney rumours are, they aren't true. George and I have been friends for years.— Eva Longoria (@EvaLongoria) July 19, 2013
They met when Ernesto appeared as a contestant on Eva's US dating show Ready For Love.
George, meanwhile, has just split from his girlfriend of two years, ex-wrestler Stacy Keibler.
Stacy confirmed the split in various media interviews this week but has said "nothing dramatic" happened to end their relationship and they remain good friends.