POTENTIAL CONFLICT ON FINAL APCH BTWN A B757-200 AND A LEARJET WHEN THE B757 OVERSHOOTS THE TURN ONTO LOC RWY 27R; 7 MI E OF LAX; CA.

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ON BASE LEG; RADAR VECTORS TO RWY 24R ILS. HDG 160 DEGS; CTLR CALLED OUT A LEARJET S OF OUR POS FOR A LNDG ON S RWYS AND ASKED US TO LET HIM KNOW WHEN FIELD IN SIGHT. I REPEATED INSTRUCTIONS AND I DID NOT SEE LEARJET. I ASKED CTLR OF TFC AGAIN. CTLR CAME BACK AND ASKED ME TO REPEAT. I REPEATED MY REQUEST FOR TFC POS AGAIN. CTLR CAME BACK AND ASKED IF WE HAD FIELD IN SIGHT. CONDITIONS WERE HAZE AT NIGHT AND THE RWY WAS DIFFICULT TO SEE -- ESPECIALLY FOR CAPT WHO WAS ON THE L SIDE ON A R BASE FOR THE RWY. A FEW MOMENTS PASSED AND THEN THE CAPT SAW THE FIELD. WE THEN CALLED IT. AT THIS TIME; THE CTLR CLRED US FOR A VISUAL TO RWY 24R. WE BEGAN AN IMMEDIATE R TURN; BUT IT WAS APPARENT THAT WE WOULD HAVE A LARGE OVERSHOOT OF THE RWY. CTLR; IN AN URGENT VOICE; THEN TOLD US TO IMMEDIATELY TURN BACK TO RWY 24R AND THEN CALLED OUT THE LEARJET OFF OUR L SIDE AT 1800 FT. SUPPLEMENTAL INFO FROM ACN 620511: ON R DOWNWIND FOR RWY 24R; WE WERE TOLD TO EXPECT A VISUAL APCH. WE WERE GIVEN A BASE TURN AND TOLD TO LOOK FOR A LEARJET AT 12 O'CLOCK POS ON FINAL FOR THE S COMPLEX. THE BASE LEG WAS SHORT. OUR ANGLE TO THE FACILITY WAS 190 DEGS AND; AS I MENTIONED; THE BASE LEG WAS ALREADY SHORT. FO ASKED WHERE OUR TFC WAS. AS CTLR WAS ANSWERING; I GOT THE FIELD IN SIGHT AND THE LOC CAME ALIVE -- ALL THIS AT ONCE. CTLR SAID 'DO YOU HAVE THE ARPT IN SIGHT?' WHEN WE ANSWERED IN THE AFFIRMATIVE; HE CLRED US FOR THE VISUAL. OF COURSE; WE OVERSHOT THE FINAL APCH COURSE IN SPITE OF MY BEST EFFORTS NOT TO. THE CTLR POINTED THIS OUT AS THOUGH WE HAD CTLED THIS PARTICULAR PATTERN. I CALLED APCH CTL ON THE PHONE AFTER GATE ARR AND THE SUPVR SAID 'THEY MAY HAVE HAD SOMETHING TO DO WITH IT.' THAT IS AN UNDERSTATEMENT AS WE DID NOT DESIGN THE SHORT BASE; DID NOT MAKE THE DECISION TO KEEP US ON A HDG TOWARD INBOUND TFC PRIOR TO TURNING US INBOUND.