The EPR Iinewidth of V^<2+>(d^3) in Li_2VSe_2 has been studied. The observed temperaturedependence of linewidth shows a broad minimum around 150 K. Several mechanisms for the line broadening are examined to explain the experimental results, and the presence of a small amount of the fast relaxing V^<3+>(d^2) ions is specified as an origin of the temperaturedependent linewidth. Susceptibility data are consistent with the interpretation of EPR results.