Are Alec Baldwin and Hilaria Thomas Planning to Elope in Europe?

Reports claim the duo are planning to tie the knot after the Cannes Film Festival

While other couples are partying on yachts, Alec Baldwin and fiancée Hilaria Thomas might be making wedding plans.

The New York Post reports that the 30 Rock actor has made plans to stay in Europe after shooting his Cannes documentary, and possibly tie the knot with Thomas once the film festival is over.

So are these two lovebirds eloping or what?!

Mum's the word.

A rep for Baldwin tells E! News, "We're declining comment on this speculation," while a source close to Baldwin tells us, "They are keeping their plans private, but I'm sure they will enjoy spending time together out of the spotlight."

Maybe they will, maybe they won't.

The actor popped the question to the 27-year-old yoga instructor in April.

"Yes, it's true," the actor's rep told us then. "Alec proposed to Hilaria this weekend and we're all excited for the newly engaged couple. Alec's birthday is tomorrow—great way to celebrate!"

Perhaps we'll have something else to celebrate after this weekend.