The reason why the proposal will work is that although the pipe will "shrink" as it attempts to collapse in on itself, it won't collapse uniformly - it'll ovalize as it attempts to collapse, and the stiffener ring will prevent that ovalization.
However, let's go down your suggested route.
First, I would attempt to engineer around the problem. Can we eliminate the vacuum by controlling the process? If not, can we add a vacuum relief valve, with a source of suitable fluid to replace that which is lost?
Second, let's assume we can't, then what you need to do is engineer a better stiffener ring.
Such a ring needs to be thicker in wall, but must have a groove cut into the inside. If you take a cross sectional view of it, it'll look like a U. (Such a ring will also require a weep hole, which should be oriented straight down so as to not hold water.)
This will add flexibility in the axial direction, so the pipe is allowed to grow axially faster than the ring itself. The ring will however continue to have a stiffening effect if the pipe attempts to collapse in on itself.