The 26-year-old came through the ranks at Corinthian Casuals as a youngster before making a move to Germany.
He enjoyed a spell in Gibraltar with Glacis United, as well as a successful stint with Haringey Borough before joining Burgess Hill Town last March and then Kettering Town in the summer.
The Wings briought Bridgeman to DA16 in January to enhance their midfield options for the second half of the season.