Air carrier pilot reported loss of hydraulic pressure during departure. Flight crew returned to departure airport and was towed off runway due to loss of nosewheel steering.

Narrative

Operating flight from ZZZ to ZZZZ. Shortly after departure from ZZZ runway XXL we received Yellow HYD Reservoir Low Level ECAM caution. While performing the ECAM action Yellow SYS quantity was noticed below the acceptable level and decreasing. Following the QRH procedures the Yellow ENG HYD pump was turned off and the leak somewhat stabilized at a lower rate. System level was just slightly above the bottom of the indicator. [Advised ATC] with ZZZ departure and requested a return to the field. Completed the required ECAM and QRH items per company SOP's and began our return to ZZZ. Company dispatch was notified as well as ZZZ maintenance. Inflight personnel were briefed in accordance with the QRH Pre-Cautionary Landing Checklist. The aircraft was at 180;000lbs and an overweight landing procedure was followed per aircraft QRH and company SOP's. ZZZ Fire/Rescue was standing by along runway XXL which was selected for landing; as well as company maintenance personnel who were required for a tow in back to the terminal since nose wheel steering was lost. A normal overweight landing was performed and aircraft was brought to a stop on runway XXL. ZZZ Fire personnel preformed a visual exterior inspection. Aircraft was shut down on the runway and configured for a tow in to the terminal with the APU running. Aircraft AML (Aircraft Maintenance Logbook) entries were made for the Yellow HYD System leak as well as for an overweight landing. Proper adherence to company SOP's and aircraft ECAM and QRH procedures mitigated the risk and a normal and landing to ZZZ was made.