This pot comprises a shell (9) comprising a bottom (15) so that the pot (1) can be placed on a surface (3), and a side part (17), and an insert (11) designed to contain the cosmetic product (2). The insert (11) is designed to be inserted into the shell (9) and fixed on it in an assembled position of the pot (1), in which the insert (11) and the shell (19) define an interstitial space (43) extending in front of the bottom (15) and the side part (17). The pot (1) also comprises a mechanical tensioning element (13) of the shell (9) that can be in a compressed position between the shell (9) and the insert (11) when the shell (9) and the insert (11) are in the assembled position.