The Run II physics program at the Tevatron started in the spring of 2001 with protons and antiprotons colliding at an energy of ps = 1.96 TeV, and is continuing with about 1.2 fb-1 of data currently collected by the CDF and DZero experiments. A measurement of the b-jet cross section as function of jet transverse momentum pT has been performed using 312 pb-1 of DZero data. The results for this measurement were obtained and are presented herein. A neural network algorithm was used to identify b jets.