B737 Undifferentiated or Other Model
Flight Crew Instrument; Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 191; Flight Crew Type 1965
Time Pressure
Aircraft Equipment Problem Critical; Deviation - Altitude Excursion From Assigned Altitude; Deviation / Discrepancy - Procedural Clearance
Flight Crew Landed in Emergency Condition; Flight Crew Diverted; General Maintenance Action
Aircraft
Shortly after reaching cruise the # 1 engine hydraulic pump low pressure light illuminated; QRH (Quick Reference Guide) directs to turn off pump. It was a previous write up and pump was replaced a few days ago. A short time later the #1 engine Oil filter bypass light illuminated. After looking at QRH I decided to make the FO (First Officer) the flying pilot and take control of checklist which leads to an engine shutdown. We [requested priority handling] and descended to 260 in a drift down. ZZZZ looked to be the closest suitable airport and messaged dispatch with our condition and intentions and they agreed. Set course for ZZZZ and briefed the FA (Flight Attendant) with [acronym]. Discussed situation with passengers and then continued with preparing for arrival. I.E. Nonnormal landing config; one engine inop approach and landing; briefed the approach and discussed the threats. FO did a great job and parked at a hard stand. Very impressive how the Dispatch runs this place.
B737 Captain reported engine hydraulic and oil warning lights resulted in engine shutdown. Prior to this flight; maintenance had signed off repair of this previous write up.