On the heels of their opening show in Vancouver, The Police have agreed to perform an MTV “Unplugged” set this summer.

Sources tell me that the date for the show is July 13 and it will take place at a still-to-be-named location in Miami.

“It’s an all-acoustic set,” says a source. It’s also the first time The Police as a group have appeared on “Unplugged,” since the group disbanded in 1983 and the MTV show didn’t start until 1989. Sting appeared on “Unplugged” in 1991 as a solo act.

The "Unplugged" show will come at a great moment in The Police tour. On Monday night, the group did their premiere show in Vancouver to a wildly enthusiastic audience including actors Penelope Cruz and Laurence Fishburne and rocker Eddie Vedder. On Wednesday night, the group will welcome Elvis Costello and Diana Krall backstage.

But apart from the celebs who are going to be making pilgrimages to their backstage area, The Police are drawing raves from everyone — including Sting. The rocker was apparently caught off guard by the enormous reaction Monday night, telling a friend, “It really is a big deal, isn’t it?”

Yes, it is. Now, if the “Unplugged” show goes well, the possibility exists of an album taken from the broadcast. Previous “Unplugged” albums by artists like Eric Clapton and Neil Young have been big, big hits.

Tuesday, by the way, was a day off for the group in Vancouver. They spent much of it on a yacht, according to insiders. That night, Sting and wife, Trudie, took their kids to see either “Shrek the Third” or “Pirates of the Caribbean.” Why the uncertainty?

“It was whichever one they could get into,” their friend says. They had to buy tickets like everyone else.