A propulsion system for a marine vessel includes a first electric machine coupled to a first drive shaft configured to provide propulsion to the marine vessel, and a second electric machine coupled to a second drive shaft configured to provide propulsion to the marine vessel, in a first mode of propulsion system operation, the first electric machine is configured as a generator to supply power to the second electric machine. The second electric machine is configured as a motor to drive the second drive shaft. A method of operating the propulsion system and a vessel including the propulsion system are also described.