The effect on the activity in breast cancer models of the small tyrosine kinase inhibitor dasatinib (DAS), either alone or in combination with other antitumoral agents, has been recently explored. However, DAS is characterized by its low and highly pH-dependent solubility, which could lead to poor uptake of the drug limiting its tumoral efficacy. Thus far, the development of safe and efficient delivery vehicles of DAS to improve the therapeutic efficacy minimizing the toxicity profile is still required. In this work, a biodegradable and biocompatible polyester is assessed, for the first time, as raw material for the generation of polymeric nanoparticles (NPs). NPs of 100 nm with a narrow polydispersity were formulated for the encapsulation of DAS. The enzymatic and cellular degradation of the new drug delivery system has been studied, and the toxicity and blood compatibility evaluated for its potential clinical use. The new material used for the generation of nanoparticles led to encapsulate DAS in an efficient manner with quicker release DAS profile when compared with the FDA-approved biopolymer Polylactide. The new DAS-loaded polymeric nanocarrier gave a superior efficacy when compared to free DAS with no difference in the mechanism of action. The new NPs shown to be a promising DAS delivery system to be further evaluated for breast cancer treatment.