Kat Von D tweets -- then deletes -- she's dating Jesse James

After Tweeting Wednesday, "Yes, Jesse and I are dating," the LA Ink star, 28, took down the message.

STORY HIGHLIGHTS

• Kat Von D's tweet was re-Tweeted by more than 100 people
  
• Her rep has said she and the motorcycle mogul, 41, are just friends
  
• Their friendship could possibly turn into something more, a source says

Von D's fingers apparently spoke too soon.

After Tweeting Wednesday, "Yes, Jesse and I are dating," the LA Ink star, 28, took down the message, though it was quickly spread and re-Tweeted by more than 100 people.

Her rep has said she and the motorcycle mogul, 41, are just friends and their cozy night out in Vegas over the weekend wasn't the start of a new relationship.

But a source tells PEOPLE their friendship could possibly turn into something more.

"Jesse and Kat drove to Las Vegas together in Jesse's car. It was just the two of them and they slept in the same room," says the source. "They have been friends for years, but this is the first time they are both single."

James's ex Sandra Bullock tells PEOPLE in its current issue that the two have "moved on with our lives and only want the best for each other."