We point out a novel, nonuniversal contribution to the dephasing rate 1/tau
(phi) = gamma(phi) of conduction electrons in metallic systems: scattering
off nonmagnetic two-level systems (TLSs) having almost degenerate Kondo gro
und states. In the regime Delta(ren) < T < T-K (Delta(ren) = renormalized l
evel splitting, T-K = Kondo temperature), such TLSs exhibit non-Fermi-liqui
d physics that can cause gamma(phi) which generally decreases with decreasi
ng T, to seemingly saturate in a limited temperature range before vanishing
for T --> 0. This could explain the saturation of dephasing recently obser
ved in gold wires [Mohanty et at, Phys. Rev. Lett. 78, 3366 (1997)].