Andrew RT Davies, former Welsh Conservative leader, said he did not disagree with anything that had been said but added that enforcement is “really important”.
“There will be illicit greyhound racing going on once you shut the licensed track,” he warned.
The issue is one the Conservatives say their MSs have a free vote on.
A Welsh Conservative spokesman said: “While there are various views on the banning of greyhound racing in Wales, it is important that any changes are taken forward in a way that engages stakeholders and is fair.”
Hefin David, the Labour MS for Caerphilly whose constituency covers the Ystrad Mynach track, raised concerns about what will happen with the land.
David said on social media platform X: “The track is on a flood plain. I understand the owners introduced flood mitigation, as well as clearing up flooding.
“A ban would mean derelict land on a flood plain adjacent to my constituency.”
He said the implementation group must look at any financial commitment required to remediate the land.
Asked by BBC Wales if he was considering compensating anyone in the industry, Irranca-Davies said that is not an “issue we are considering at all”.
But he said ministers wanted to engage with the sector and its workforce, and to avoid the site becoming “derelict”.
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