Citation Excel Captain reported low oil pressure issues resulting in a return to departure airport.

Narrative

After take-off on Runway XXL; we contacted ZZZ Departure and climbed out per our ATC clearance enroute to our destination of ZZZ1. All SOP's and Normal Checklists were completed. Climbing through 8000 to 9000 ft.; the red master warning light started to flash. We saw the LOW OIL PRESS 'R' light on the annunciator panel illuminated and the right oil pressure gauge/tape drop to 20 PSI before returning to normal. All other instrument indications indicated normal. We continued the climb but within a couple of minutes the same abnormal right oil pressure indications occurred again. I was the pilot monitoring and Co-Pilot was flying. Co-Pilot directed me to pull out the QRH/ABNORMAL for low oil pressure. We ran through this checklist and completed each step appropriate to the abnormal oil indications that we had - which ended in 'land as soon as practical'. We quickly discussed and reviewed our situation; and decided not to continue all the way to ZZZ1. I told ZZZ ATC (Center) we were requesting priority and wanted to return to ZZZ. ATC asked what assistance we needed and I believe I stated we had an abnormal engine/instrument indication. ATC gave us headings/vectors to ZZZ and we descended toward ZZZ. I stated two souls on board and fuel on board. Since all instrument indications were normal we continued on an extended downwind; (I asked for an extended time/downwind) since we had to burn off fuel to land below max landing weight. We were given vectors to intercept the Runway XYL LOC/ILS; cleared for the visual approach and cleared to land. ATC asked if we need any assistance on landing and roll out. I said none was needed and we would be landing and clearing the runway to the ramp. All SOP's and Checklists were completed; we landed and cleared the runway and received clearance to taxi to the [FBO] ramp. Co-Pilot then contacted Flight Control; Maintenance; but first the Chief Pilot. A proper oil pressure indication within limits.