We prove that the L-space conjecture holds for those L-spaces obtained from Dehn surgery on knots which are closures of iterated 1-bridge braids, i.e., the braids obtained from satellite operations on 1-bridge braids. This statement generalizes Tran's result on non-left-orderability surgeries on L-space twisted torus knots of form Tp,kp \pm 1l,m.