A measurement of W --> e nu + n-jet cross sections in p anti-p
collisions at s**(1/2) = 1.96 TeV using the Collider Detector at Fermilab in
Run II (CDF II) is presented.  The measurement is based on an integrated
luminosity of 320 pb-1, and includes events with up to 4 or more jets.  In
each jet multiplicity sample the differential and cumulative cross sections
with respect to the transverse energy of the ith jet are measured.  For W +
 > 2 jets the differential cross section with respect to the 2-leading jets
invariant mass m_j1 j2 and angural separation Delta R_ji j2 is also
reported.  The data are compared to predictions from Monte Carlo
simulations.