Rodgers was in line to to be third tight end behind Zach Ertz and Dallas Goedert but suffered a knee injury and has been sidelined for the past couple of weeks.
Wheaton was originally signed by the Eagles in May. He was released as the team trimmed its roster to 53 over the weekend. The re-signing of Wheaton helps bolster a receiving corps that will be without Alshon Jeffery (shoulder) on Thursday against the Falcons. Second-year wideout Mack Hollins was ruled out for Thursday by coach Doug Pederson on Tuesday. He's been dealing with a groin injury and missed practice Monday.