Bradford captain David Wetherall has turned down the chance to join Coventry and will stay at Valley Parade.
Wetherall joined Bradford for £1.4m from Leeds five years ago
A number of players have left following Bradford's relegation from Division One and their financial problems.
But the 33-year-old central defender is committed to playing under new Bantams boss Colin Todd in League Two.
Coventry have signed former Arsenal, Everton and Watford midfielder Stephen Hughes, 27, who was released by Charlton at the end of last season.