For constant current, you'd need to drive at least 9 watts so it would be more like 250mA if not higher.
A 1600 lumen LED module might take as much or more current than a 60w incandescent. If your constant current supply can output between 0 volts and input volts, and it's set for a bulb with such a module, it would be able to power an incandescent bulb.