6.1.1 beta (10B311) does not fix the jailbreak. It’ll probably happen in a future revision. Don’t upgrade though, evasi0n won’t let you jb.
— pod2g (@pod2g) February 7, 2013
At least not yet anyway. Remember, this is just beta 1 of what will likely be 3 or 4 developer releases. But for the time being, pod2g says that 6.1.1 does not fix any of the jailbreak’s security holes.
He does, however, say that evasi0n will not jailbreak iOS 6.1.1, so it’s still highly recommended that developers, and anyone else with access to the beta, stay away from the update for now.
And we haven’t found anything in iOS 6.1.1 yet worth updating anyway—unless of course you live in Japan. The release notes for the beta include a number of Maps improvements for the country.