Removing the reflection of object A from metal object B in animation

[Pozga]

I am working on an animation for a client with two objects in the scene. The first object is black and the second object is steel. At one point in the animation we zoom in on the steel object to view a detail, but the entire detail is covered in the reflection of the black object, so you cant see it.

Usually I would fix this in post production of the render, but this is animation........ so it makes it a bit tricky.

Is there a setting where I can turn the reflection of this object off?