A method for differentiating a neoplastic cell towards a non tumoral untransformed phenotype which comprises exposing a neoplastic cell to at least one bioconjugate consisting of hyaluronic acid bound to an antitumoral drug for differentiating a neoplastic cell towards a non-tumoral untransformed phenotype, wherein said method avoid the nuclear accumulation of β-catenin protein and activates the APC-GSK-3β protein complex, and wherein the drug is doxorubicin, covalently bound through a spacer selected from bromobutanol or bromopropanol, with a substitution degree of doxorubicin at carboxyl of hyaluronic acid ranging from 3 to 20%, wherein said hyaluronic acid is bound to said spacer via an ester bond with the carboxyl moiety in said hyaluronic acid and said spacer is bound to said doxorubicin via a carbamic bond.