A fluid dispenser comprises a dispenser valve defining a fluid dispenser passage, and a container comprising a deformable inner pouch and a deformable outer shell that co-operate with each other to define an intermediate gap therebetween. The deformable outer shell includes a collar in engagement with the dispenser valve, and an annular flange that extends radially inwards inside the collar in such a manner as to define an edge that defines a central opening. The deformable inner pouch includes a neck that is engaged in the central opening in engagement with the edge of the annular flange and with the dispenser valve in fluid communication with the dispenser passage. The dispenser valve comprises an inlet sleeve in engagement with the neck of the deformable inner pouch and a fastener ring that in engagement with the collar of the deformable outer shell.