HAWKER 1000 FLC DIVERTS TO JAX AFTER GETTING A MASTER CAUTION LIGHT. THE R ENG OIL PRESSURE WAS FLUCTUATING DURING THEIR ROUGH RIDE IN TURB. GND INSPECTION FOUND THE OIL TO BE 2 PT 5 QUARTS LOW.

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ENRTE FROM MKG-MIA AT FL390 IN LIGHT TO MODERATE TURB WE HAD OUR MASTER WARNING LIGHT COME ON WITH NO RED ANNUNCIATORS ASSOCIATED WITH IT. AFTER 3RD TIME COMING ON WE NOTICED THAT THE R OIL PRESSURE GAUGE WAS FLUCTUATING MORE THAN THE L. WENT THROUGH CHKLIST WHICH SAID THAT IT WAS WITHIN ACCEPTABLE LIMITS. CONSIDERING THE POOR ENRTE WX IN FLORIDA; WE DECIDED THAT THE SAFEST ACTION WOULD BE TO MAKE A PRECAUTIONARY LNDG AT JAX. WE REQUESTED LOWER ALT AND TO DIVERT TO JAX TO MAKE A PRECAUTIONARY LNDG AND IT WAS GRANTED. WHEN HANDED OFF TO JAX APCH THEY ASKED IF WE NEEDED ASSISTANCE AND WE SAID NEGATIVE; JUST A PRECAUTIONARY LNDG. AFTER LNDG WE DISCOVERED THAT THE OIL ON THE R ENG WAS A LITTLE LOWER THAN THE L SO ADDED OIL AND RAN UP R ENG AND EVERYTHING WAS NORMAL. AFTER BEING CLRED FROM COMPANY WE PROCEEDED ON TO MIA WITH NO FLUCTUATIONS AT ALL. THIS WAS A PART 91 FLT. WE ADDED 2 1/2 QUARTS OF OIL TO R ENG WHICH BROUGHT IT TO FULL WHICH IS WITHIN THE OIL CONSUMPTION LIMITS OF ACFT. I FEEL THAT THE TURB IS WHAT CAUSED THE FLUCTUATIONS AND A LOWER OIL LEVEL. RECOMMENDATIONS WOULD BE TO MAKE SURE OIL LEVEL IS HIGHER THAN REQUIRED FOR NORMAL FLIGHT WHEN TURB IS GOING TO BE OR FORECAST FOR RTE OF FLT.