  We propose a mechanism for the creation of cosmic string loops with
dynamically stabilised windings in the internal space. Assuming a velocity
correlations regime in the post-inflationary epoch, such windings are seen to
arise naturally in string networks prior to loop formation. The angular
momentum of the string in the compact space may then be sufficient to ensure
that the windings remain stable after the loop chops off from the network, even
if the internal manifold is simply connected. For concreteness we embed our
model in the Klebanov-Strassler geometry, which provides a natural mechanism
for brane inflation, as well a being one of the best understood
compactification schemes in type IIB string theory. We see that the interaction
of angular momentum with the string tension causes the loop to oscillate
between phases of expansion and contraction. This, in principle, should give
rise to a distinct gravitational wave signature, the future detection of which
could provide indirect evidence for the existence of extra dimensions.
