"I don't think you ever take anything off the table," Allen told NFL Media Insider Ian Rapoport and a small group of reporters at the NFL Annual Meeting in Orlando, Fla. on Sunday. "You have your checklist. We've got these holes we need to fill. That's one that we feel like we've been able to check off the list. We filled that.
"But I still think when we get ready to pick (at No. 5 overall), we're going to take the best player available."
Allen was asked if Schaub's arrival served as a sign that Terrelle Pryor is being fazed out of the organization's plans. Allen believes Pryor and Matt McGloin can improve simply by being around Schaub.
"I think it's one of those situations where both these young quarterbacks to sit back and watch and see how this guy prepares see how this goes about doing his job because I think Matt Schaub has, in the last five or six years, been a top-10 quarterback in this league."