The density profile of a pulsed high-density gas jet developed for laser-plasma interaction experiments has been measured. The measurements were carried out using interferometry and Abet inversion of the resultant fringe shifts to obtain gas densities. The jet produces high densities of up to 6 x 10(20) cm(-3) for nitrogen and helium gases at 200 mu m outside the nozzle tip. The dense region is mainly confined to a column of 1 mm diameter above the nozzle accessible to laser-plasma interaction studies. The interferometric technique employed here can be used as an on-line diagnostic for monitoring the gas density in such studies.