Micelles of a model amphiphilic block copolymer, poly(hydroxyethyl acrylate)-block-poly(n-butyl acrylate) (PHEA-b-PBA), synthesized via the RAFT polymerization were cross-linked by copolymerization of a degradable cross-linker from the living RAFT-end groups of PBA chains, yielding a cross-linked core without affecting significantly the original micelle size. The cross-linker incorporation into the micelles was evidenced via physicochemical analysis of the copolymer unimers formed upon acidic cleavage of the cross-linked micelles. High doxorubicin loading capacities (60 wt %) were obtained. Hydrolysis of less than half of the cross-links in the core was found to be sufficient to release doxorubicin faster at acidic pH compared to neutral pH. The system represents the first example of core-cross-linked micelles that can be destabilized (potentially both above and below CMC) by the pH-dependent cleavage of the cross-links and the subsequent polarity change in the core to enable the release of hydrophobic drugs entrapped inside the micelle.