On the eve of the NFL draft, the Browns' chances of staying at No. 6 and selecting a player were about 60 percent, a league source said. But a report surfaced that the Browns might trade up to No. 3 with the Raiders to take Brigham Young pass rusher Ziggy Ansah. The report came from Michael Silver of Yahoo Sports, who tweeted, "Hearing some chatter from multiple NFL sources that the Raiders may be trying to trade down from 3 overall ... w/Browns as possible partner." He added, "If Cleveland trades up to get the Raiders' pick at 3, I believe Browns are targeting Ansah." Ansah (6-5, 271) is the big, fast, raw defensive end born and raised in Ghana who came to the United States to play at Brigham Young. He's enjoyed a meteoric rise after a stellar senior season and a dominating performance in the Senior Bowl. With most teams expecting offensive tackles Luke Joeckel of Texas A&M and Eric Fisher of Central Michigan to be taken with the first two picks, Ansah could be there at No. 3, and the thought is that any team coveting him would have to leapfrog the Lions at No. 5. The Raiders might be targeting Florida defensive tackle Sharrif Floyd and think they can get him at No. 6. The Browns are also considering giving up a mid-round pick for Dolphins wide receiver Davone Bess, who's on the trading block. A source confirmed for The Plain Dealer a report by Sean Jensen of the Chicago Sun-Times that the Browns are seriously interested in picking up Bess. If the Browns move up to No. 3 and also trade for Bess, it could make for a quiet remainder of the draft, which is Thursday through Saturday. The Browns are also believed to be enamored with Oregon pass-rusher Dion Jordan, who's built like a small forward and would be an explosive edge-rusher to pair with Paul Kruger. If the Browns land a rusher such as Ansah or Jordan, they might try to trade Jabaal Sheard, who's trying to make the transition from left end to right outside linebacker. Jordan, who underwent surgery to repair a torn labrum in March, is another player who could be gone by No. 6. If the Browns do trade up to No. 3, they might also have their eye on Jordan. In the event the Browns stay at No. 6 and both Ansah and Jordan are gone, they might try to trade the pick. One teams believed to be interested in moving up is San Diego at No. 11. The Chargers might be after Oklahoma offensive tackle Lane Johnson and be willing to deal to get him. In that scenario, one possibility for the Browns would be LSU defensive end/linebacker Barkevious Mingo, who visited the club earlier this month and got a great vibe from defensive line coach Joe Cullen. Plenty of draft observers have the Browns taking Alabama cornerback Dee Milliner, and that apparently remains a possibility. But CEO Joe Banner would seem to prefer one of the premier positions: a quarterback, offensive lineman or pass-rusher. Milliner has undergone five surgeries throughout his career, including a torn labrum repair on March 12. He told The Plain Dealer last week that he'll be "full strength by training or sometime in August at the latest." Wednesday, at a pre-draft event, he defended himself against the pre-draft concerns. "I'm doing great, and I'm already ahead of schedule," he said. "I'll be back well before training camp. [Doctors] said everything looked good, looked fine, and that everything is healed up." Milliner, who played for former Browns defensive coordinator Nick Saban, would be pro-ready and fill the glaring need for a starter opposite Joe Haden. A number of mock drafts jumped on the Geno Smith bandwagon on Wednesday, with NFL Network's Mike Mayock predicting the Browns will take him at No. 6. Sports Illustrated's Peter King has the Browns moving down to No. 11 and taking Smith there. King wrote in his latest mock "Don't let the smokescreen acquisition of Jason Campbell, a backup, fool you: the Browns want a QB in this draft, and they get one."