B737 Next Generation Undifferentiated
Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument
Flight Crew Last 90 Days 180; Flight Crew Total 20100; Flight Crew Type 9085
Aircraft Equipment Problem Critical
Flight Crew Landed As Precaution; Flight Crew Overcame Equipment Problem; Flight Crew Landed in Emergency Condition
Aircraft
We were descending on the ZZZZ 1 arrival into ZZZ. As we were descending the First Officer extended the speed brakes to help us get down.  Upon retraction to about 50 percent stowed; the aircraft rolled right about 15 degrees. Then the autopilot rolled wings level.  Once the speed brake was stowed to 25 percent it rolled again to the right 15 degrees and then it went wings level again.  After the speed brakes were fully stowed; the aircraft rolled left 15 degrees and then back to wings level.  After that we knew we had a spoiler problem and we decided we would not use the speed brakes for the remainder of the flight.  After referencing the QRH and the manuals; we requested priority handling; we notified the flight attendants and we let the passengers know with a PA.  We descended uneventfully with priority handling and landed with vehicles standing by. We taxied to the gate.  We debriefed with maintenance and the flight operations.
B737 NG Captain reported experiencing several 15 degree rolls to the right due to a possible speedbrake/spoiler malfunction during arrival flight phase. The crew landed uneventfully without the use of speedbrakes.