The invention concerns an assembly (100) for delivering electrical currents to and/or sensing electrical signals from a skin portion of an individual. The assembly comprises an electrode (1) having an electrical conductive portion (2) with a surface for entering in contact with a skin portion (200) of the individual and an electrical insulating stratum (3) covering the electrical conductive portion (2).The assembly comprises a conductor assembly (40) having a connector assembly (4) with protuberances (8) for removably retaining the electrode and electrically connecting said electrical conductive portion (2) of the electrode to said monitoring and/or stimulating device. The protuberances have sharpened elements (8) for piercing the insulating stratum (3) and engaging themselves inside the electrical conductive portion (2).
