Preliminary measurements on inclusive jet production in proton-antiproton collision at √(s) 1.96 TeV are presented, based on 385 pb⁻¹ of data collected with the upgraded Collider Detector at Fermilab in Run II. The measurements are carried out for jets reconstructed using the k_T algorithm with transverse momentum about 54 GeV/c in five different jet rapidity regions up to |y^jet| 2.1. The measured cross sections are compared with next-to-leading order perturbative QCD predictions after the necessary non-perturbative parton-to-hadron corrections are included.