He signed as a free agent with Chicago and played two seasons with the Bears. After being released by the Bears on Aug. 8, the Falcons re-signed Weems on Aug. 21.
Weems, who went to the Pro Bowl as a special teams player after the 2010 season. Weems, 29, is a former undrafted player from Bethune-Cookman.
After a storied career at Oregon State, Rodgers was a fifth-round pick (145th overall) in the 2011 draft. He has played in 63 games and made five starts.
Rodgers, 25, has been a solid blocker in passing situations and has caught 155 passes for 1,104 yards. He caught more than 50 passes in 2012 and 2013.
Rodgers has not been effective running the ball from scrimmage as he’s averaged a paltry 3.7 yards per carry. The Falcons offensive line woes over the past two seasons were certainly a contributing factor.
Eric Weems, eight-year veteran
The skinny: Has re-signed with the Falcons.
The snaps: He played 202 snaps and caught 10 of 11 targets in the passing game.
The stats: Weems Led the team in special teams' tackles with 13. He also had 10 catches for 102 yards and two touchdowns.
2014 salary: $730,000
Jacquizz Rodgers, four-year veteran
The skinny: Headed for unrestricted free agency status
The snaps: He played 360 snaps on offense.
The stats: He had 58 rushes for 217 yards and one touchdown. He caught 29 passes for 173 yards and one touchdown.
2014 salary: $1.436 million with a performance escalator.
FALCONS POTENTIAL UNRESTRICTED FREE AGENTS
DB Javier Arenas
LB Kroy Biermann
K Matt Bryant - signed a three-year contract extension.
G-T Gabe Carimi
S Charles Godfrey
--has re-signed with the team.
G Mike Johnson
S Dwight Lowery
DE Cliff Matthews
re-signed a two-year contract on Tuesday, Feb. 24.
CB Robert McClain
TE Bear Pascoe is not returning to the team.
DT Corey Peters
is likely headed for free agency. Team has a lot of cash tied up in Tyson Jackson and Paul Soliai. Also, snaps would free up for development of Rashede Hageman.
RB Jacquizz Rodgers
OT Jonathan Scott
RB Antone Smith
DE Osi Umenyiora
LB Sean Weatherspoon Team is working hard on this deal,
but Arizona may be waiting in the wings to make a big push for him.
WR Eric Weems
CB Josh Wilson
Falcons to focus on adding another cornerstone
Quinn-Dimitroff partnership off to a strong start
Q&A with Falcons head coach Dan Quinn at the combine
Falcons coach Dan Quinn fired up to watch pass-rushers
Q&A with Falcons general manager Thomas Dimitroff on moving forward
Falcons to keep character filter on draft picks
Falcons close to re-signing kicker Matt Bryant
Falcons LT Jake Matthews recovering from offseason surgery
Falcons plan to extend WR Julio Jones contract
Falcons could target Denver TE Julius Thomas in free agency
Falcons' roster gutting could have big names (i.e. Steven Jackson)
Cutting the Falcons roster -- Should they stay or should they go?
Todd Gurley speaks about autograph-signing caper
Bucs appear set to cast future with Jameis Winston
Todd Gurley intriguing prospect to NFL teams
Chris Conley puts on a dazzling show at the combine
Waller, Smelter out to prove NFL standing at the combine
Watch: D. Led -- Falcons news at the combine
Watch: NFL Network's Mike Mayock at the combine
Watch: Todd Gurley has interviews set up with 24 NFL teams
Watch: Falcons general manager Thomas Dimitroff at the combine
Watch: Falcons coach Dan Quinn at the combine
Watch: Rams GM Les Snead on the pass-rush talent at the combine
FALCONS COMBINE MEETINGS
Oregon DE Arik Armstead talked scheme with the Falcons
Falcons met with Alabama quarterback Blake Sims
Falcons to meet with Florida DE Dante Fowler Jr.
Falcons met with Wake Forest CB Kevin Johnson
Falcons met with Alabama safety Landon Collins
Photographs from the 2015 NFL scouting combine
Photos of players with Georgia ties at the scouting combine
Photos of NFL pass rusher set to enter free agency