Herein, we describe the synthesis of poly(1,8-octamethylene citrate) materials modified in the bulk with 2-hydroxypropyl-β-cyclodextrin (cPOCCD), biodegradable elastomers with intrinsic sorption properties for drug delivery. The chemical structure, physicochemical properties, in vitro drug loading and release profiles of cPOCCD were investigated. Thus, cPOCCD polyesters absorb the studied drugs more effective and release them for a longer period of time than poly(1,8-octamethylene citrate) materials not containing cyclodextrins.