LGT TAXI TO GATE WITH MARSHALLER AND WING WALKER. WING TIP HIT WDB AT NEXT GATE.

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INCIDENT OCCURRED ON MY INITIAL LINE CHK AS CAPT ON THE ACFT. THE COPLT WAS AN INSTRUCTOR CAPT GIVING ME THE LINE CHK. ALSO AN FAA INSPECTOR WAS OBSERVING THE LINE CHK. WHILE BEING MARSHALLED INTO GATE; THE ACFT THAT I WAS TAXIING MADE WINGTIP CONTACT WITH A PARKED WDB AT NEXT GATE. AS I APCHED THE GATE IT WAS APPARENT THAT WE WOULD BE PARKED QUITE CLOSE TO THE WDB. MY TAXI SPD WAS VERY SLOW AS I WATCHED BOTH THE MARSHALLER FOR CENTERLINE GUIDANCE AND THE WING WALKER FOR 'THUMBS UP' CLRNC. THE SIGNALS THAT I WAS BEING GIVEN INDICATED THAT THE ACFT WAS ON CENTERLINE WITH ADEQUATE SEPARATION. IN PREPARATION FOR STOPPING AT THE GATE I LOOKED FORWARD AT THE MARSHALLER. HE WAS LOOKING AT THE WING WALKER AND THEN SIGNALED FOR ME TO STOP THE ACFT SHORT OF THE GATE. IT WAS NOT AN EMER STOP SIGNAL. I STOPPED QUICKLY; BUT THE SIGNAL WAS GIVEN TOO LATE TO AVOID CONTACT. BOTH THE IOE INSTRUCTOR AND I WERE VIGILANT AND CAUTIOUS AS I TAXIED IN. THERE WERE NO DISTRS IN THE COCKPIT AND THE ONLY CONVERSATION RELATED DIRECTLY TO PARKING THE ACFT.