B757 Undifferentiated or Other Model
Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine; Flight Crew Instrument
Flight Crew Last 90 Days 159; Flight Crew Total 20525; Flight Crew Type 744
Workload
Aircraft Equipment Problem Critical
Air Traffic Control Provided Assistance; Flight Crew Diverted; Flight Crew Landed in Emergency Condition
Aircraft
While at our cruise altitude of 38;000 feet; I noticed the right engine oil pressure fluctuating at lower than normal levels. Upon closer scrutiny of the right engine instruments; we saw the oil quantity at zero. The Low Eng Oil Pressure Amber EICAS then started flickering. While I began to reduce thrust on the right engine to see if that would help; my FO ran the Right Engine Oil Pressure which led us to the Engine Shutdown Checklist. We requested priority handling with Center; requested a descent to FL 270 which was slightly below our drift down altitude; and requested direct ZZZ. Given our altitude; it was the safest suitable airport considering the time we needed to descend from 38;000 feet; run all checklists; coordinate with dispatch and the flight attendants; and ATC. Dispatch said he agreed with our decision to divert to ZZZ. As the FO expertly finished all checklists; I briefed the flight attendants with TEST; and then made a pa to the passengers about our predicament. ZZZ airport was clear and we made a normal landing in VFR conditions on Runway XXR; about 25 minutes after we began our descent.  After clearing the runway; we reinforced the seatbelt sign as we came to a stop on DX. At that point; crash and rescue checked  the exterior of the aircraft and engine and saw nothing to report.  We continued to ZZZ1 with one truck in trail of our aircraft. The passengers disembarked without event. I asked the mechanic who met us to tell me what the oil quantity was in the right engine. He reported back that it was completely empty.
[Narrative contained no additional information.]
B757 flight crew saw right engine had no oil quantity. Crew shutdown the right engine; diverted and landed safely.