Premier League chief executive Richard Scudamore wants players and managers to be prevented from betting on football.
Scudamore, speaking about match-fixing allegations that have surfaced in the last month, said he could not rule out the possibility that match-fixing had taken place in the Premier League.
"If a person is involved in football, they shouldn't be allowed to bet on football," he told BBC Radio 5 live's Sportsweek programme.
"The time has come for that to happen."
Match-fixing and spot-fixing allegations have surfaced at various levels of the English game, from non-league football to the Championship.
Blackburn striker DJ Campbell
was one of six people questioned earlier this month
- and then bailed until April 2014 - as part of a National Crime Agency (NCA) investigation into spot-fixing.
“The one thing that scares you the most about this whole industry is the idea that integrity could be impugned in any way”
Winger Cristian Montano, who was also questioned as part of the investigation,
"vehemently denied" any involvement in spot-fixing
after being sacked by League One club Oldham last Monday.
Two footballers at Conference South side Whitehawk
were charged with conspiracy to defraud
earlier this month as part of a previous NCA match-fixing investigation.
Scudamore added: "We have had 8,393 matches so far in the Premier League, and I can't actually sit here today and say it has never happened in those matches."
He insisted the Premier League was doing all it could to target fixers, adding: "We are monitoring over 300 international betting markets and we have a whole system of things in place."
But he admitted: "The one thing that scares you the most about this whole industry is the idea that integrity could be impugned in any way."
He said he was confident that match-fixing was not "entirely widespread and prevalent", but added that it was still a "serious issue".