Is there a word for "divulging unintentionally"?

The President * information to an unauthorized staff of the White House.

I am wondering if there's a word for divulging unintentionally like as in a person leaking corporate information to a person who's not supposed to have that information unintentionally. Is there such a word?

Answer

For a one word option, there's "blab" which means

to reveal a secret especially by indiscreet chatter

but it's not a particularly formal word--I wouldn't expect to read it in a news article.

I would expect to see something like "let slip."

He let privileged information slip to an unauthorized member...

If formality isn't an issue at all, there are also variations like "spill the beans."