For all the research I have done, there are only three different bridge covers: The P, the J and the Tele.
Even my 1998 Squier P bridge will not allow a cover to fit it, although it might be a different bridge as it's very much larger than other bridges on other Squier Ps.
You may also have an interference problem with some of the Deluxe Jazz MiM and putting a Fender J-cover on the bridge.
I got a Fender bridge cover and the p'ups covers on my VM-Jazz with no problems.
For kicks and giggles, the Fender P bridge cover fits nicely on my VM-Jaguar though:
