  We study gauge dependence of the recently suggested definition of the singlet
and adjoint potentials in SU(2) lattice gauge theory. We find that in the (time
local) maximal tree axial gauge the singlet potential obtained from the gauge
dependent correlator ${Tr} L(x)L^\dagger(y)$ differs from that computed in the
Coulomb gauge. In the generalized Coulomb gauge we find the range of the
parameter values in which the singlet potential differs from that in the
Coulomb gauge.
