The bleed will be outside the trim marks
Ordinarily for printing purposes at a professional printers they counter this with imposition software.
So it's never really an issue.
However, if you like you can use the Marks and Bleed section when outputting the file
And choose the Inside Bleed to be set to 0.
However, this might not give finishing department much maneouvering when folding and binding the book.
Have you checked with your printers what they prefer?
That's waht inside bleed is on a facing pages file -- the edge of the other half of the spread. This is not a problem if the bleed area is empty, or your bleed object crosses the spine, but if you REALLY need bleed at the spine, you can't butt things to the spine and leave it at that. Theymust either cross over, or you need to split the spread and extend them past. See InDesignSecrets » Blog Archive » Breaking Pages Apart to Bleed Off a Spine