A league source told NFL Network insider Jason La Canfora that Williams wasn't expected to reach terms on a contract with Buffalo on Tuesday night, and he has at least one other visit scheduled with another team.
Williams is regarded as the top free agent on the market not named Peyton Manning, which means the Bills will have to pay a hefty price if they intend to land the player selected first overall in the 2006 NFL Draft by the Houston Texans. But Brandon, in an interview with Buffalo's WGR-AM earlier Tuesday, indicated the team is willing to spend.
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"We plan to be aggressive in free agency, and resources will not be an issue," Brandon said.
Williams, a two-time Pro Bowl starter, most recently played linebacker for the Texans, but he'd likely switch back to defensive end in a 4-3 scheme, which the Bills plan to run next season. The Bills managed just 27 sacks last season, tied for 27th in the league, and registered 10 of them during a 23-0 victory over the Washington Redskins on Oct. 30.
The Associated Press contributed to this report.