89 XJS has a continually running brake pump. Just started today with no previous issues. Fairly recent replacement on front calipers. I'm guessing there may be air in the system. Is there an easier way to remove air from the brake system other than bleeding at the caliper?

 

Someone else with more experience may chime in, but if it's a Teves system on the 89, and the pump is running constantly, it's usually the acummulator.
if you tear Kirby Palms book (it's in the archives here) it will give you some good info