Presented a method for quantizing the wideband line spectrum frequencies (LSF) with a specific class of near-ellipsoidal lattice codes referred to as "generalized Voronoi codes". Optimization procedures are described with respect to a weighted mean-square error (WMSE). The lattices D16, RE16 or RLambda16 are applied to quantize the LSF with no frequency splitting. Results indicate that near-ellipsoidal lattice quantization allows to develop efficient one-stage algebraic wideband LSF quantization at competitive bit rates.