B737-400 BEGAN TAXIING FROM THE GATE; CROSSED A VEHICLE PERIMETER ROAD AND ENTERED A TXWY WITHOUT CLRNC.

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AFTER PUSHBACK; THE FO CALLED FOR TAXI. COMPANY HAD SEVERAL FLTS WAITING TO PUSH AFTER US; AND WE WERE BLOCKING PUSHES FROM 2 GATES; WHILE WE RESOLVED A SECURITY ISSUE CONCERNING WHETHER OR NOT WE HAD AN ARMED LAW ENFORCEMENT OFFICIAL ABOARD OR NOT; AS HE HAD NOT IDENTED HIMSELF TO THE FLT ATTENDANTS. IT TURNED OUT THAT WE DID HAVE AN ARMED FBI AGENT SITTING IN FIRST CLASS. AS I TAXIED; SO AS TO ALLOW THE WAITING ACFT TO PUSH; I CROSSED THE VEHICLE ACCESS PERIMETER ROAD; WHICH IS IN FAIRLY CLOSE PROX TO GATE. SOME GATES ARE SO CLOSE; THAT DIRECT CONTACT WITH GND CTL IS REQUIRED; INSTEAD OF CALLING RAMP CTL FIRST (IF INSIDE THE VEHICLE ROAD). I HEARD THE CLRNC TO TAXI AND OBSERVED THE FO TALKING ON THE RADIO; AND WAS FOCUSED ON THE MANEUVERING OF THE ACFT; WHEN SHORTLY AFTER XING THE VEHICLE ACCESS ROAD; THE FO CALLED GND CTL; AND GND CTL ACKNOWLEDGED WITH 'I SEE THAT YOU ARE ALREADY ON THE TXWY' (HAVING CROSSED THE VEHICLE ACCESS LANE). FOR SOME REASON (ALL THAT WAS GOING ON) I ASSUMED THAT WE WERE ALREADY TALKING TO GND CTL; AND WERE CLRED TO CROSS THE VEHICLE ACCESS ROAD; ONTO THE TXWY. I HABITUALLY VERBALIZE OUT LOUD WITH THE FO WHAT THE SPECIFIC TAXI INSTRUCTIONS ARE SO THAT WE BOTH AGREE ON WHAT WE THINK WE HEARD. APPARENTLY; I WAS RUSHED BY RAMP CTL AND ACFT WAITING TO PUSH; AND DID NOT VERIFY INITIAL TAXI INSTRUCTIONS WITH THE FO. I SHOULD NOT HAVE ALLOWED ANYTHING TO RUSH ME; BECAUSE I SUBSEQUENTLY MISSED SOMETHING AND OR PRESUMED SOMETHING WHICH WAS NOT THE CASE. IT HAPPENED IN A HIGH WORKLOAD; MULTI-EVENT SIT; WHICH IS EXACTLY WHEN WE NEED TO SLOW THINGS DOWN A BIT; AND NOT BE RUSHED. NO APPARENT PROBS. APPARENTLY; IT WAS THE CLRNC TO TAXI; FROM RAMP CTL; THAT I HEARD INITIALLY; WHEN I BEGAN TO TAXI.