Oh wow! must be a little nerve wracking for you now that they have said 'any time'!
Yeah, mine did get longer somehow and have heard other ladies on here saying the same but obviously there are those that don't, and I wouldn't have personally thought at 34 weeks yours would be likely to get longer as your body prepares itself for labour.
I THINK putting the stitch in would be dangerous this late on as it can have complications doing the procedure, also, they usually take a stitch out at around 37 weeks to which you are pretty close! yay!
The apprehension must be a little scary for you but on the bright side, it has happened late on and I doubt very much you will have to be induced which I've heard can be quite a painful experience. x