In this paper, the perturbation problem of Lie symmetries and adiabatic invariants for variable mass systems with unilateral holonomic constraints are studied. Firstly, a type of generalized Hojman conserved quantity under general infinitesimal transformation is obtained. Then, based on the definition of high-order adiabatic invariants of a mechanical system, the perburbation of Lie symmetries for variable mass systems with unilateral holonomic constraints under small disturbance is discussed and a type of generalized Hojman adiabatic invariants are given. At last, an example to illustrate the application of the results is given.