League One Coventry have granted Championship Huddersfield permission to approach their manager Mark Robins about the Terriers' vacant managerial post.
"Once we had done everything we could and it was obvious that he was still interested in talking to Huddersfield, we had no choice other than to let him do so," read a Coventry statement.
Coventry added that "more than one club" had shown interest in Robins.
Coventry had rejected an initial approach from Huddersfield and chief executive Tim Fisher said he still held out hope that Robins would remain with the club.
"We are just hoping that when he weighs up his options and opportunities, he will see the great progress to date and the support he has from fans and management alike, coupled with the potential in Coventry, and decide to stay," added Fisher.