Superconducting fluctuation, induce remnants of the Josephson effect a
bove T(c). To explore this, we consider a paraconducting cylinder, com
posed of two thin films connected by tunnel junctions, and threaded by
magnetic flux. The electrical conductance includes a component that i
s an oscillatory function of the flux, having an amplitude proportiona
l to the square of the Joseph coupling, and decaying exponentially wit
h the circumference over a length scale xi(T). We estimate the typical
magnitude of this effect, and contrast it with related mesoscopic eff
ects in normal-metal systems.