Disable autolinks inside captions

Is it possible to disable autolinks from appearing inside my image captions?

I have a large image with caption at the top of each of my articles and two or three autolinks are generally place in the caption copy. This is basically useless for the reader as the caption is subtle and the links even more so.

It would be great if we could have a feature that only added autolinks to <p> tags. Or perhaps we could disable autolinks on tags with certain ids/classes.

I assume this wouldn't be too hard as we already have the option to disable autolinks in header tags.

Hoping you can help out!