Narrative:

Climbing out of ZZZ; both fuel pump low pressure lights illuminated on the number 2 tank. The fwd low pressure light would go on and off. The aft low pressure light illuminated constantly. We stopped the climb at FL330 to troubleshoot. While troubleshooting the issue; the number 2 engine rolled back quite a bit; and then returned to normal operation.the captain sent an ACARS message to dispatch to advise them. We all agreed that the QRH said we could continue. The captain decided to talk to dispatch over airinc. While on the radio with dispatch; the number 2 engine had another minor loss of power and surge. We were pretty much right over ZZZ1; and we all decided to divert to ZZZ1 in the interest of safety. We changed our destination with ATC to ZZZ1. We did not request priority handling and landed in ZZZ1 without further incident.

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Original NASA ASRS Text

Title: B737 flight crew reported low fuel pump pressure indication for the Number 2 engine and surges in power output that resulted in a diversion.

Narrative: Climbing out of ZZZ; both fuel pump low pressure lights illuminated on the Number 2 tank. The FWD low pressure light would go on and off. The AFT low pressure light illuminated constantly. We stopped the climb at FL330 to troubleshoot. While troubleshooting the issue; the Number 2 engine rolled back quite a bit; and then returned to normal operation.The Captain sent an ACARS message to Dispatch to advise them. We all agreed that the QRH said we could continue. The Captain decided to talk to Dispatch over AIRINC. While on the radio with Dispatch; the number 2 engine had another minor loss of power and surge. We were pretty much right over ZZZ1; and we all decided to divert to ZZZ1 in the interest of safety. We changed our destination with ATC to ZZZ1. We did not request priority handling and landed in ZZZ1 without further incident.

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.