An air carrier pilot reported loss of hydraulic pressure and a divert to a nearby airport.

Narrative

ZZZ1-ZZZ2 was a routine flight until cruise when we noticed a flicker of the master caution. Shortly after it stayed on with a HYD light. We looked up and noticed the ENG1 low pressure light and referenced the QRH which instructed us to turn it off. We called Dispatch and Maintenance Control and came to an agreement that with the psi still showing 3000 it was most likely a bad quantity sensor and we continued. About 45 min to an hour later we got both low pressure lights indicating a loss of system A. Again referencing the QRH we followed the procedure. It was as at that time that we decided to divert to ZZZ and [requested priority handling]. We were very aware of our max landing weight and took extra precautions to land under max landing weight. I as the flying pilot made an uneventful landing and came to a stop on the runway here Airport Rescue and Firefighting (ARFF) was rolled and Maintenance installed the gear pins as directed by the QRH and towed us to the gate. As this was my second leg off OE I was very familiar with this situation from the sim and never got out of performing normally.