Narrative:

This was an oe (operational experience) for a new first officer (first officer). First officer was the PF (pilot flying) and I as the lca (line check airman) the pm (pilot monitoring). Climbing through approximately FL270 for FL320; the oil filter bypass amber light illuminated. I told the first officer to continue as the PF and also assume ATC. I would eventually assume ATC while performing the QRH. Initiated and completed the QRH without the light extinguishing. The QRH directed an engine shutdown and that checklist was also completed. [We advised ATC]; fas (flight attendants) advised multiple times and with test; without an evacuation directed. Multiple passenger announcements made as well. During these procedures a ppos (present position) hold was performed to assess the situation and initiate the checklists. A lower altitude was requested due to single engine altitude being approximately FL200. We were quite heavy; approximately 165;000 lbs. Dispatch was contacted and the decision was collectively made to proceed to ZZZ. Dispatch was queried regarding landing data; single engine at this heavy weight and the information was received expeditiously. All checklists were completed; cabin informed and advised; multiple PA's; dispatch included; [ATC advised]. A safe and smooth landing was performed by the lca and we were approximately 20;000 lbs overweight. Exited the runway; and stopped the aircraft without setting the parking brake. Solicited the assistance of arff (airport rescue firefighting) to determine the condition of the gear and brakes. Some light smoke; but no fire. Decided to proceed to an area in the ramp to wait for brake cooling. Passengers and flight attendant's constantly informed and the final passenger reception was excellent. After brake cooling; I directed a tow in to the gate. [Chief pilot] was also contacted while awaiting for the cooling.

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Original NASA ASRS Text

Title: B737 flight crew reported an engine shutdown due to an oil filter bypass indication; resulting in a diversion to the nearest suitable airport.

Narrative: This was an OE (Operational Experience) for a new FO (First Officer). FO was the PF (Pilot Flying) and I as the LCA (Line Check Airman) the PM (Pilot Monitoring). Climbing through approximately FL270 for FL320; the OIL FILTER BYPASS amber light illuminated. I told the FO to continue as the PF and also assume ATC. I would eventually assume ATC while performing the QRH. Initiated and completed the QRH without the light extinguishing. The QRH directed an engine shutdown and that checklist was also completed. [We advised ATC]; FAs (Flight Attendants) advised multiple times and with TEST; without an evacuation directed. Multiple passenger announcements made as well. During these procedures a PPOS (Present Position) hold was performed to assess the situation and initiate the checklists. A lower altitude was requested due to single engine altitude being approximately FL200. We were quite heavy; approximately 165;000 lbs. Dispatch was contacted and the decision was collectively made to proceed to ZZZ. Dispatch was queried regarding landing data; single engine at this heavy weight and the information was received expeditiously. All checklists were completed; cabin informed and advised; multiple PA's; Dispatch included; [ATC advised]. A safe and smooth landing was performed by the LCA and we were approximately 20;000 lbs overweight. Exited the runway; and stopped the aircraft without setting the parking brake. Solicited the assistance of ARFF (Airport Rescue Firefighting) to determine the condition of the gear and brakes. Some light smoke; but no fire. Decided to proceed to an area in the ramp to wait for brake cooling. Passengers and FA's constantly informed and the final passenger reception was excellent. After brake cooling; I directed a tow in to the gate. [Chief Pilot] was also contacted while awaiting for the cooling.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.