AT 42 CREW HAD GREEN SYS HYD FAILURE.

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40 MI OUT OF TVL ON OCT/XA/99. WE RECEIVED A SINGLE CHIME; MASTER CAUTION 'HYD' LIGHT ON OUR CAP PANEL. THIS ALERTED US TO LOOK UP AND IDENT THE PROB. THE GREEN HYD SYS 'LOW LEVEL' LIGHT WAS ILLUMINATED. THE GREEN SYS CTLS THE LNDG GEAR AND NORMAL BRAKES. WE FOLLOWED THE QRH PROCS FOR THE 'LOW LEVEL' CHKLIST. THE FO WAS FLYING; SO I BRIEFED HIM ON THE SIT. I TOLD HIM THAT I WAS GOING TO CONTACT DISPATCH AND MAINT CTL AND GIVE THEM THE HEADS UP. I TOLD HIM TO CALL ZMP AND HAVE THEM CALL TVL AND HAVE THE CFR STANDING BY. NO EMER DECLARATION WAS MADE. I THEN TOLD HIM THAT I WAS OFF RADIO #1; ZMP; AND WOULD BE ON #2 RADIO WITH COMPANY. I DISCUSSED THE OPTIONS WITH COMPANY AND DECIDED TO PROCEED TO TVL WITH SUFFICIENT RWY AVAILABLE AS DETERMINED BY THE QRH PROCS. I TOLD DISPATCH TO CALL THE CONTRACT MAINT TO GET THEM GOING. I RPTED BACK ON WITH THE FO AND ADVISED HIM WHAT COMPANY SAID; AND HE ADVISED ME OF OUR FLT CONDITIONS. WE WERE CLRED FOR THE VISUAL APCH AND WE MANUALLY EXTENDED THE GEAR. WE LANDED WITHOUT EVENT AND SLOWED USING REVERSE AND THE EMER BRAKE. WE PROCEEDED CLR OF THE RWY; AND CFR FOLLOWED US TO THE GATE AREA WHICH WAS SLIGHTLY MODIFIED FOR OUR ARR GIVEN OUR SIT. UPON POSTFLT INSPECTION; WE NOTICED THE HYD RESERVOIR NEEDED SVCING AS IT WAS BELOW THE REFILL LINE. IT APPEARED THAT UPON PARKING BRAKE SETTING; THE REMAINDER OF THE FLUID HAD LEAKED ONTO THE TARMAC. NO FURTHER EVENTS NOTED. DUE TO THE QUICKNESS OF THE SIT; NEITHER THE FO NOR I HAD DECLARED AN EMER; EVEN THOUGH WE HAD CFR STANDING BY. MAINT TIGHTENED A LOOSE NUT AND SVCED THE FLUID AND WE WERE ON OUR WAY BACK TO ORD.