The 27-year-old moves to the EasyAsHGV Stadium following his release from Vanarama National League side Barnet.
Brundle joined the Bees in July 2021 from league rivals Dagenham & Redbridge.
He had been with the Daggers since July 2019 after arriving from another National League outfit, Dover Athletic, having signed for the Whites in June 2017 from Gateshead.
The Londoner, who can play in midfield and at full-back, made 34 National League appearances for Gateshead before making the move to Crabble.
He joined the Heed from Braintree Town after making 77 appearances for the Essex outfit and was a member of Iron side that finished third in the National League before losing to Grimsby Town in the play-off semi-finals in the 2015/16 season.
He started his career in the youth ranks at Yeovil Town before joining Bristol City.
While at City, he made 7 League appearances while out on loan at Cheltenham Town in the 2013/14 season.
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