Capital One, who bought the sponsorship rights for the tournament last summer, have laid on 42 coaches that will take supporters of the two finalists to Wembley on February 24 in an initiative called the 'Capital One Convoy'.
Bradford fans who have booked coach travel to Wembley via the club's official coach provider will be sent a letter with the opportunity to have their travel refunded.
Swansea supporters who have bought match tickets will receive an email giving them the opportunity to travel on one of the coaches for free.
Michael Woodburn, chief marketing officer of Capital One, said: "Fans of both clubs face over a 300-mile round trip to Wembley, and we wanted to reward their loyalty and thank them for their passionate support in the competition throughout the season."
