The ratio of the W + \geq 1 jet cross section to the inclusive W cross section is measured using W^+/- -> e^+/- nu events from pbar p collisions at sqrt s = 1.8 TeV. The data are from 108 pb^-1 of integrated luminosity collected with the Collider Detector at Fermilab (CDF). Measurements of the cross section ratio for jet transverse energy thresholds (E^min_T) ranging from 15 to 95 GeV are compared to theoretical predictions using next-to-leading order QCD calculations. Data and theory agree well for E^min_T > 25 GeV, where the predictions lie within 1 standard deviation of the measured values.