Can Lightroom Tell You What Color Space Your Image is In?

When working on a non-raw image in Photoshop, I have the color space and bit depth displayed at the bottom left of the image window. I find it handy to be able to see the color space info quickly.

However, in Lightroom, I can't seem to find color space info for any non-raw images. I understand that Lightroom uses ProPhoto as its working space but some of my non-raw images are in various other color spaces and I would like to be able to see what color space an image is in without having to open it in PS.

Is there any way to find out the color space of an image in Lightroom? Something like a "File Info" menu item (as in PS) or some other command or view option?

Any of you Lightroom gurus know the answer? Thanks!

This is just a shot in the dark but wouldn't the colorspace information be in the Metadata files?
Just a thought

Thanks for the shot, John! The ICC Profile is in the metadata but Lightroom does not display this info as far as I can tell. Would be nice if it did!