A qualitative difference has been found between the temperature depend
ence of the rate of spin relaxation of sodium nuclei in a NaxWO3 sampl
e with a superconducting composition (x=0.2) and that in a sample with
a nonsuperconducting composition (x=0.4). The difference is attribute
d to antiferromagnetic correlations in the conduction band of the samp
le with a superconducting composition.