Will the hipshot A-style bridge fit under a p-bass bridge cover?

[civilengr]

I am looking to replace/upgrade the bridge on my p-bass but really do not want to give up my bridge cover. Will this bridge fit and if not do you know one that will?

Here is the bridge:

Hipshot Brass A-Style Bass Bridge Mount 1 - No String Through: Shop Accessories & Other Musical Instruments | Musician's Friend

[THand]

IME...I have the brass hipshot A string thru, no, it will not.

[Turnaround]

There are some larger than normal P-Bass bridge covers out there. I have one. Unfortunately I do not remember where I got it, but they are out there. Good luck in your search.