Albion have already snapped up Craig Gardner from Sunderland and Joleon Lescott from Manchester City on free transfers and are preparing to bid for Monaco striker Riviere, who has impressed Hawthorns scouts with his displays in France.
Burton said: "I came in on June 1 so any work on recruitment, really and truthfully, had been done already.
"Due diligence has been done by recruiters who were out there identifying players nine, 10 or 11 months ago that eventually should come to the top of the pyramid, where we get a group of players who ideally should be good enough to come and play in our first team.
"Then we have all the added things about whether we can get them, do they want to come here and can we afford them? But all the work has really been done.
"I have been in with the recruiters every day to try to bring together the information that's out there, because I can't retrospectively watch them now apart from on a video.
"You can see most games now but all you're seeing is the clip that everybody sees."
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