Eight unnamed managers with Premier League experience are alleged to have taken bribes for the transfers of players during secretly filmed interviews with several agents, according to the Daily Telegraph.
The newspaper, responsible for the undercover investigation which cost England boss Sam Allardyce his job on Tuesday, secretly filmed several agents over the past 10 months.
One of those agents allegedly named managers who he claimed had received payments for the transfer of players - although he later denied paying bribes to any of them.
The Daily Telegraph name Pino Pagliari, an unlicensed Italian agent, as one of the agents they secretly filmed and report that he claimed a former top-flight boss had "more backhanders than Wimbledon".
The allegations come a day after the newspaper revealed former Bolton, Blackburn, Newcastle, West Ham and Sunderland boss Allardyce offering advice on how to "get around" rules on player transfers during a secretly filmed meeting.
The Daily Telegraph has also reported that Cardiff launched an investigation after auditors discovered evidence of unexplained payments relating to the 2014 loan move of Ravel Morrison from West Ham, then managed by Allardyce.
A spokesman for the Bluebirds is reported as saying: "We investigated the matter thoroughly" while the Football Association and Allardyce have yet to respond to the allegations, as has Morrison - who now plays in Italy with Lazio.
The Daily Telegraph has said it will pass transcripts to the Football Association and will also hand over information to the police.
The newspaper also revealed it had contacted all of the managers named by the agents and that five of them had responded with denials of taking bungs while three had not responded.
The newspaper has reported that later this week it will disclose the name of an assistant manager at a leading club who was filmed accepting a £5,000 cash payment from undercover reporters posing as representatives of a Far Eastern firm that was seeking to invest in players.
Press Association Sport is seeking a response from all those named by the Daily Telegraph in their report.