Bucannon was elevated from Tampa Bay's practice squad Saturday.
Bucannon was released from the Buccaneers on Monday.
Bucannon was promoted to Tampa Bay's active roster from the practice squad Friday, Scott Smith of the team's official site reports.
Bucannon was added to the Falcons' practice squad Tuesday, D. Orlando Ledbetter of The Atlanta Journal-Constitution reports.
Bucannon has agreed to terms on a contract with the Falcons, William McFadden of the team's official site reports.
Bucannon (illness) is active for the team's Week 16 matchup against Washington, Jordan Raanan of ESPN.com reports.
Bucannon has been added to the injury report as questionable ahead of Sunday's game against the Redskins due to an illness, Ralph Vacchiano of SportsNet New York reports.
Bucannon signed with the Giants on Tuesday, Michael Elsen of the team's official website reports.
Bucannon was let go by Tampa Bay on Wednesday, Adam Schefter of ESPN reports.
Bucannon (knee) wasn't listed on the injury report for Wednesday's practice, suggesting he's fully healthy.