ACR FOLLOWS TCASII RA CAUSED BY LIGHT ACFT ENTRY INTO CLASS B AIRSPACE AT TPA; FL; WITHOUT CLRNC. ATC WAS AWARE BUT ISSUED LATE ADVISORY.

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THE FO WAS DSNDING; AUTOPLT ON; TO 5000 FT MSL ON A VECTOR TO TPA. ABOUT THE SAME TIME I NOTICED TFC ON THE TCASII SCOPE -- WE GOT A TCASII TA. I VISUALLY ACQUIRED THE TFC AT 2 O'CLOCK POS AND CLOSING; AN OBVIOUS CONFLICT. IT WAS A SINGLE ENG; LOW WING; SMALL AIRPLANE AT ABOUT 5300 FT MSL. AT THIS TIME WE GOT A TCASII RA TO CLB. I TOOK THE CTLS AND AGGRESSIVELY PULLED UP AND CLBED TO 6000 FT MSL. THE CLOSEST VERT SEPARATION OBSERVED ON TCASII WS 200 FT. THE SMALL ACFT PASSED BEHIND US AS WE CLBED. TPA APCH CALLED US ABOUT THE TFC JUST BEFORE ALL THE TCASII ADVISORIES WERE RECEIVED. IN FACT; I RESPONDED TO THE RADIO CALL AS WE WERE EVADING THE TFC. ALTHOUGH I BELIEVE WE REMAINED 'WELL CLR' (500 FT METAL TO METAL) IT WAS CLOSE AND I'M NOT 100% SURE. THE REST OF THE ARR WAS UNEVENTFUL. UPON TALKING TO THE TRACON SUPVR; I LEARNED THE TFC WAS VFR; VIOLATING CLASS B AIRSPACE WITHOUT COMS. THE CTLRS HAD BEEN WATCHING HIM; YET DSNDED ME INTO CLOSE PROX. IN MY OPINION; THE RADIO ADVISORY WAS TARDY. JUST GOES TO SHOW WHAT WE ALL KNOW -- IT PAYS TO LOOK OUTSIDE ALL YOU CAN. TCASII REALLY SAVED THE DAY!