Former FA chief executive Mark Palios says football needs to "wean" itself off gambling sponsorship.
He told BBC Radio 4's File on Four programme football's links with the betting industry had gone "too far".
Mr Palios, who chairs Tranmere Rovers FC, said he would not accept gambling sponsorship and had rejected an offer from a major betting company last year.
The English Football League said football and the gambling industry worked together responsibly.