Finally! A Web + TV Combo That Makes Sense: Jimmy Fallon Livestreams Jimmy Fallon.

Yes, yes, yes: Google (GOOG) is the latest company to try merging your TV with the Web. I’m still not convinced you want that to happen, but more on that later.

Meantime, here’s a Web/TV merger that does make sense: NBC late-night host Jimmy Fallon,watching his own show on tape while commenting on it, live, on the Web.

Really, it does make sense: Like all late-night shows, Fallon’s is recorded in the afternoon, the day of broadcast. But next week, each night the show airs, Fallon will go live on the Web at 12:30 Eastern and provide a running commentary on the show, DVD-style. Fans will also be able to chat and interact with him, via video powered by UStream.

Pretty clever convergence, no?

Aside: Fallon’s show has always been a deliberately Web-friendly one. Fallon is a fairly famous Twitterer, which has caused some problems in the past, and the show goes out of its way to book tech-savvy guests like the Digg dudes.

And it’s also good about offering Internet-only goodies like this clip–an off-air encounter between Fallon and guest Jerry Seinfeld from last night’s show.