Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 32; Flight Crew Total 7900; Flight Crew Type 3586
Distraction; Troubleshooting
Aircraft Equipment Problem Critical
Air Traffic Control Provided Assistance; Flight Crew Returned To Departure Airport
Aircraft
After takeoff climbing through approximately 3000 ft. received a level 1 Hydraulic 2 Off alert. Passing through 15000 ft. with autopilot engaged. QRH procedures were executed by First Officer. Then I made a sat-com call to Dispatch and Maintenance to discuss problem and if we should continue to ZZZ1.  During call Hydraulic quantity in system 2 continue to decrease. At approximately 1.3 gallons we received a level 2 Hydraulic 2 Fail alert. QRH procedures were followed. Afterwards I made the decision to return to ZZZ. [Requested priority handling] and we landed in ZZZ uneventfully.
MD-11 Captain reported a loss of the #2 hydraulic system quantity; which resulted in a return to the departure airport.