Hennessy (knee) is slated to sign a one-year contract with the Eagles, Zach Berman of The Athletic reports.
Atlanta placed Hennessy (knee) on injured reserve Wednesday, Scott Bair of the Falcons' official site reports.
Head coach Arthur Smith told reporters Saturday that Hennessy (knee), who left practice Friday, is expected to return next week and will be back "sooner than later," Josh Kendall of The Athletic reports.
Hennessy left practice Friday and is set to receive an MRI on his knee, Michael Rothstein of ESPN.com reports.
Hennessy (knee) handled first-team left guard reps in 11-on-11 drills during last week's OTAs, Tori McElhaney of the Falcons' official site reports.
Hennessy (knee) will not return Sunday against the Buccaneers, D. Orlando Ledbetter of The Atlanta Journal-Constitution reports.
Hennessy (knee) was activated from injured reserve on Saturday.
Hennessy (knee) was designated to return from IR on Monday, Ashton Edmunds reports.
Hennessy (knee) will return to practice this week, according to head coach Arthur Smith, Tori McElhaney of the Falcons' official site reports.
Atlanta placed Hennessy (knee) on its injured reserve list Tuesday ahead of Thursday's game at Carolina.