A cannula (1) for dispensing fluid products, particularly for vaginal and rectal applications, comprises: a tubular body (2) for containing a fluid product (P), having a first extremity (2a), at which a dispenser opening (3) is formed, and a second open extremity (2b), opposed to the first extremity (2a). A closing body (5) which is associable with the tubular body (2) to close the second extremity (2b). The closing body comprises a first element (6) at least partially insertable through the second extremity (2b) and suitable for acting as a sliding piston inside the tubular body (2), and a second annular body, that functions a tamper indication seal. A cover cap (4) which can be fitted on the tubular body (2) to close the dispenser opening (3) and which is made in a single body piece. Longitudinal score lines divide the cover cap into a plurality of first sections and a single second section. Fold lines extend longitudinally along the first sections. Single second section is torn away from the body along the weakened score lines, and the first sections are bent over the fold lines to form a push rod of reduced transverse dimensions. Push rod is insertable into tubular body to slide first section of closing cap along interior of cannula to discharge fluid product.
