The Daily Mail says Henry is expected to make his second debut for Arsenal against Leeds on Monday night after completing his return.
The Gunners legend has agreed a two-month loan switch from US side New York Red Bulls.
The deal was held up over negotiations over his insurance package but it has now been agreed.
The deal had to be completed by midday on Friday if they wanted him to be available for the FA Cup third-round clash.
Arsenal host Championship side Leeds at the Emirates on Monday night and Henry is expected to play a role in the game.
He has a spectacular scoring record of 11 goals in as many games against Leeds.