Changing my permalink structure – will new layout conflict with existing page?

My site has a blog page at /blog/, with links to blog posts. A post will have a URL starting at the root of the site, which is a bit jarring. I’d like to have the posts URLs appear as if they are within the blog section of the site.

My site currently has a permalink structure like the following:

/2010/09/11/sample-post/

I’d like to modify it to include a blog prefix:

/blog/2010/09/11/sample-post/

As I understand, WordPress should be able to handle the appropriate redirects.

My issue is the fact that I have the blog page at /blog/

If I change my post permalink structure, is there going to be any conflict with a page having a similar URL?

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