The algorithm for computing the solar vector of (Blanco et al., 2001) is revisited to improve its accuracy in the period 2020-2050, a period for which the algorithm was not initially designed. The resulting improved algorithm achieves a 25% decrease in the average error of the angular deviation with respect to the true solar vector (from a mean error of 11.81-8.78 arcsec), while simultaneously decreasing the range of variation of the error.