  We have investigated the superfluid properties of a ring of weakly
interacting and degenerate 1D Bose gas at thermal equilibrium with a rotating
vessel. The conventional definition of superfluidity predicts that the gas has
a significant superfluid fraction only in the Bose condensed regime. In the
opposite regime, it is found that a superfluid behaviour can still be
identified when the probability distribution of the total momentum of the gas
has a multi-peaked structure, revealing unambiguously the existence of
`superfluid' supercurrent states that did not show up in the conventional
definition of superfluidity.
