The measure is part of a fightback against criminals who use their gambling accounts as 'banks' to move and hide large amounts of cash.
A betting slip for €38,000 linked to a Liverpool football match was discovered during a Garda operation targeting the Kinahan crime cartel last year.
Now, as part of a wider European crackdown on criminal involvement with gambling outlets, the EU is seeking to impose new restrictions on a range of "suspicious practices".
The directive covers all "providers of gambling services", unlike previous rulings which only applied to casinos.
““The overall impact for betting outlets will be a requirement to 'know your customers' better.
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The new EU anti-money laundering directive was due to be introduced in Ireland by June 26.
However, "ongoing negotiations" on a suite of amending measures has delayed implementation, according to a statement from the Department of Finance.
Cash betting is traditionally seen as one of the easiest ways of "cleaning" dirty money.