Restoring jailbreak help

I jailbreaked iOS 8.1.2 with taig and backed everything up in iTunes . However, I had to get my iPhone swapped at Apple store. The new iPhone they gave me has the older iOS 8.1.1 installed.

So my questions are, what will happen if I restore my iOS 8.1.2 backup? Will I get all my data back with 8.1.2 jailbreak? Or do I have to jailbreak my current iOS 8.1.1 first and then restore my backup?

Any help will be appreciated. Thanks!