Oil pump for a variable speed hermetic compressor, comprising: a hermetic shell (1), which defines a lubricant oil sump (2) at its bottom and which lodges therewithin a cylinder block (3), supporting a vertical eccentric shaft (5), which carries an electric motor rotor (8), said eccentric shaft (5) being provided with at least one oil channel (9), having an upper end (9a) opened to the external part of the upper median portion of the eccentric shaft (5), said eccentric shaft (5) supporting at its lower end (5b) a pump rotor (10); at least one oil conducting channel (20), which is machined to the body of said rotor (8) and which presents a lower end opening (20b) facing the pump rotor (10) and an upper end opening (20a) for oil discharge to said oil channel (9), said oil conducting channel (20) having at least the part of its length, that includes the upper end opening (20a), radially spaced in relation to the eccentric shaft (5); a stationary oil collecting means (30), which is attached to the cylinder block (3) and which is provided with an annular region for receiving all the oil coming from each oil conducting channel (20); and at least one lubricant oil feeding means (31) that discharges oil to the oil channel (9).