A whirlpool skimming device removes surface debris from a pool by creating a whirlpool having an upper bound at the surface of the pool. The uppermost portion of the whirlpool is free standing and is not bounded by the device. The device includes an outer cup-shaped portion and an inner cup-shaped portion coaxially disposed therein. An opening is disposed in the bottom of the inner cup-shaped portion which communicates with a source of suction which is preferably a Venturi tube feeding the outlet water to a filter bag. There is a first nozzle supplying water at an upper, inner edge of the inner cup-shaped portion at a slightly downward angle in a first direction, and there is a second nozzle supplying water at a lower, outer edge of the inner cup-shaped portion and mounted on an opposite side of the inner cup-shaped portion. The device causes coaxial rotational flow patterns relative to the inner cup-shaped portion, in which the outer rotational flow takes an upwardly spiral path outside the inner cup-shaped portion, and the inner rotational flow takes a downwardly spiral path inside the inner cup-shaped portion of the device.