The 20-year-old Ulsterman is on a month’s loan with a view to signing a permanent deal.
County Antrim-born Coyles, who has been a regular in Leeds’ reserve side, travelled to Farnborough with his new team-mates at the weekend after signing for United.
Regular keeper Keiren Westwood faces a further two to three weeks on the sidelines after suffering badly-bruised ribs in last month’s 1-0 win over Northwich Victoria.