The low critical solution temperature phase transition (Tc) that is exhibited by thermosensitive polymers is strongly dependent on polymer concentration, pH, ionic strength, as well as the presence of specific molecules or ions in solution. Therefore, polymers with Tc values above 37 °C that are useful for hyperthermia therapy are not readily available. In the present study, temperature-sensitive hyperbranched polyethylenimine derivatives were developed through stepwise functionalization with isobutylamide groups. Although factors such as the concentration of polymer, sodium chloride, phosphate ions, and pH considerably affect the transition temperature, it was possible to obtain a hyperbranched derivative having the required Tc (38-39 °C) for the given aqueous medium required in cell experiments through careful selection of the degree of substitution. This thermosensitive derivative can encapsulate doxorubicin (DOX), a well-known anticancer agent, and was further studied as a temperature-triggered drug delivery system. Although the polymeric carrier showed no notable toxicity at temperatures either below or above the transition temperature, the thermoresponsive drug-loaded formulation exhibited increased DOX cellular uptake and improved in vitro cytotoxicity at 40 °C.