Welcome to the Q&A Forum

as someone who does a lot of auditing, I need to say I'm confused by this somewhat. "The link to "http://www.xxxx.com/old-page/" has resulted in HTTP redirection to "http://www.xxxx.com/new-page" That's only one hop. Which is perfectly valid.  So where are the "unnecessary redirects" that report is referring to? By all means, if you have problems on the site, fixing them is always the proper course of action.  I only wonder whether you really do have a problem. Also, for the record, the claim "Search engines can only pass page rankings and other relevant data through a single redirection hop" is NOT true.  While more than one hop can be harmful due to slowing Googlebot's crawl, and where multiple hops can slow user experience, which are OTHER, related possible problems for SEO, as long as the hops are kept to one, two, or perhaps three at most, you are sill going to be able to get the full individual page SEO value passed. Note that this is true only if the new destination page has all of the same SEO signals the original page had.  Because you can't magically pass SEO value from page A to page x just by using a redirect.  Even if its just one redirect. If page x is significantly different than page A, that's going to change the trust score for the passed value. Also here's a video from Matt Cutts regarding multiple hop redirects: http://www.youtube.com/watch?v=r1lVPrYoBkA