A gear pump for operating with reduced likelihood of cavitation occurrences in the fluid being pumped thereby, the pump comprising: a pair of gears (2, 3) each supported on a corresponding one of a pair of gear shafts (4, 5) between shaft ends thereof with each gear shaft (4, 5) having a corresponding gear shaft axis of symmetry intersecting the shaft ends thereof substantially parallel to one another, and each gear (2, 3) intersecting a common gear plane substantially perpendicular to the gear shaft axes of symmetry with teeth provided in each gear (2, 3) that mesh with at least one tooth of the other when such teeth have been rotated into a meshing region in the gear plane, and with one of the gear shafts (4, 5) being rotatably connectable to a motor; bearing structures rotatably supporting corresponding ones of each of the pair of gear shafts (4, 5) on either side of that one of the pair of gears (2, 3) supported thereby, and with the bearing structures having bearing surfaces adjacent those gear sides; and a pressurized fluid passageway in at least one of the bearing structures across from the meshing region and extending between surface openings (21, 22) at the bearing surface of that bearing structure that are positioned on opposite sides of an alignment axis in that bearing surface extending between the gear shaft axes of symmetry, the surface openings (21, 22) being separated from one another by at least a width of a tooth provided in the pair of gears (2, 3); characterised in that: the bearing surfaces of the bearing structures on at least one side of the pair of gears (2, 3) are recessed beginning at locations adjacent to a location where the gears (2, 3) mesh and from there extending in opposite directions at least in part perpendicular to an axis intersecting the axes of symmetry of the shafts (4, 5) to form a pair of recessed surface portions in the bearing surfaces, and with at least one of the surface openings (21, 22) being at one of those recessed surface portions. a pair of gears (2, 3) each supported on a corresponding one of a pair of gear shafts (4, 5) between shaft ends thereof with each gear shaft (4, 5) having a corresponding gear shaft axis of symmetry intersecting the shaft ends thereof substantially parallel to one another, and each gear (2, 3) intersecting a common gear plane substantially perpendicular to the gear shaft axes of symmetry with teeth provided in each gear (2, 3) that mesh with at least one tooth of the other when such teeth have been rotated into a meshing region in the gear plane, and with one of the gear shafts (4, 5) being rotatably connectable to a motor; bearing structures rotatably supporting corresponding ones of each of the pair of gear shafts (4, 5) on either side of that one of the pair of gears (2, 3) supported thereby, and with the bearing structures having bearing surfaces adjacent those gear sides; and a pressurized fluid passageway in at least one of the bearing structures across from the meshing region and extending between surface openings (21, 22) at the bearing surface of that bearing structure that are positioned on opposite sides of an alignment axis in that bearing surface extending between the gear shaft axes of symmetry, the surface openings (21, 22) being separated from one another by at least a width of a tooth provided in the pair of gears (2, 3); characterised in that: the bearing surfaces of the bearing structures on at least one side of the pair of gears (2, 3) are recessed beginning at locations adjacent to a location where the gears (2, 3) mesh and from there extending in opposite directions at least in part perpendicular to an axis intersecting the axes of symmetry of the shafts (4, 5) to form a pair of recessed surface portions in the bearing surfaces, and with at least one of the surface openings (21, 22) being at one of those recessed surface portions. the bearing surfaces of the bearing structures on at least one side of the pair of gears (2, 3) are recessed beginning at locations adjacent to a location where the gears (2, 3) mesh and from there extending in opposite directions at least in part perpendicular to an axis intersecting the axes of symmetry of the shafts (4, 5) to form a pair of recessed surface portions in the bearing surfaces, and with at least one of the surface openings (21, 22) being at one of those recessed surface portions.