According to Valleywag, talks are underway.

Facebook tried to buy Twitter. Google and Microsoft have been giving the red-hot Internet-messaging startup the eye. But we hear it’s Apple that’s closest to sealing a deal, possibly for as much as $700 million.

A source who’s plugged into the Valley’s deal scene and has been recruited by Apple for a senior position says Apple and Twitter are in serious negotiations, with the goal of unveiling a deal by June 8, when Apple’s annual Worldwide Developers Conference launches in San Jose.

Harry McCraken doesn’t think so.