If static addresses are assigned, you will need to manually assign another static IP address to the virtual machine if you wish to use bridged mode. You may have to get your IT Department to authorize an IP Address for this XP Virtual Machine or if you already can use up to 2, then just assign the second one to it and you should be fine (provided it's on the same network).
Alternatively, you can set the Network mode for the XP Virtual Machine to "NAT" and have VMware run its own little router to assign it IPs based off that to the virtual machine.