We have studied the Se-77 NMR spectrum and spin-lattice relaxation rate (SL
RR) in the quasi-one-dimensional conductor (TaSe4)(2)I in the temperature r
ange of 150 to 320 K, i.e., both above and below the temperature of the cha
rge-density wave transition, T, = 263 K. Both the Knight shift and the SLRR
vary strongly with temperature in the entire range investigated with no sh
arp feature at T,. In particular, no critical divergence or Hebel-Slichter
peak is observed. The SLRR is strongly "non-Korringa", i.e., not proportion
al to the square of the Knight shift times temperature. All these findings
are interpreted in terms of a fluctuating gap model.