Priming cap for a device for dispensing a fluid product

A device for dispensing a fluid product, comprising a fluid product reservoir, a dispensing member, a dispensing head provided with a dispensing orifice, and a priming cap intended to cover, in a closing position, said dispensing head, said dispensing head comprising an axial end wall provided with a dispensing orifice, said priming cap comprising trapping means for trapping fluid to, in the closing position, receive and retain the fluid dispensed through said dispensing orifice during actuations of priming said dispensing device, said priming cap comprising an upper axial wall connected to a side wall, said trapping means comprising an internal sleeve fixed in said side wall and defining a trapping space between said internal sleeve and said priming cap, characterised in that said internal sleeve comprises a substantially radial bottom axial wall comprising an opening, said bottom axial wall being positioned in the closing position of said priming cap on said axial end wall of said dispensing head, with said opening disposed facing said dispensing orifice.