  We calculate current (shot) noise in a metallic diffusive conductor generated
by spin imbalance in the absence of a net electric current. This situation is
modeled in an idealized three-terminal setup with two biased ferromagnetic
leads (F-leads) and one normal lead (N-lead). Parallel magnetization of the
F-leads gives rise in spin-imbalance and finite shot noise at the N-lead.
Finite spin relaxation results in an increase of the shot noise, which depends
on the ratio of the length of the conductor ($L$) and the spin relaxation
length ($l_s$). For $L\gg l_s$ the shot noise increases by a factor of two and
coincides with the case of the anti-parallel magnetization of the F-leads.
