An axial bearing for a turbocharger contains a through hole for a shaft and at least one at least partially or completely circulating segment section on a first and second side of the axial bearing. At least one bearing surface is disposed in the segment section. At least one oil pocket is on the first side of the axial bearing. The oil pocket is connected to at least one recess opening outwards, the recess being configured such that it connects the oil pocket for oil supply purposes to the respective segment section and the bearing surface(s) thereof on the first and second side of the axial bearing.