Wreh-Wilson dislocated his left shoulder Sunday in a 36-7 loss to the New York Giants. The former third-round draft pick from Connecticut had started 11 games this season.
Meredith had played four games with the Indianapolis Colts this season before getting waived last month. The Cincinnati Bengals waived him last week.
The 28-year-old Meredith has five seasons and 51 games of NFL experience while splitting time between tackle and guard. He started four games with the Buffalo Bills in 2009 and had 20 combined starts with the Tampa Bay Buccaneers in 2012 and 2013. He also has played for the Giants (2010) and Pittsburgh Steelers (2011).