  We compute two-point functions of lowest weight operators at the
next-to-leading order in the couplings for the beta-deformed N=4 SYM. In
particular we focus on the CPO Tr(Phi_1^2) and the operator Tr(Phi_1 Phi_2) not
presently listed as BPS. We find that for both operators no anomalous dimension
is generated at this order, then confirming the results recently obtained in
hep-th/0506128. However, in both cases a finite correction to the two-point
function appears.
