  We analyze the one loop corrections to leptonic W and Z decays in an R-parity
violating extension to the Minimal Supersymmetric Standard Model (MSSM). We
find that lepton universality violation in the Z line-shape variables alone
would strengthen the bounds on the magnitudes of the lambda' couplings, but a
global fit on all data leaves the bounds virtually unchanged at |lambda'_{33k}|
< 0.42 and |lambda'_{23k}| < 0.50 at the 2 sigma level. Bounds from W decays
are less stringent: |lambda'_{33k}| < 2.4 at 2 sigma, as a consequence of the
weaker Fermilab experimental bounds on lepton universality violation in W
decays. We also point out the potential of constraining R-parity violating
couplings from the measurement of the Upsilon invisible width.
