Wales Office Minister Lord Bourne said he will look at the issue again after protests in the House of Lords.
Gambling is currently reserved to Westminster, although responsibility for high-stakes machines is being devolved to Scotland.
Labour peer and AM Baroness Morgan tabled an amendment to the Wales Bill to give Wales responsibility over them.
"Many, often vulnerable, people are attracted by the prospect of high payouts of up to £500," she said.
"Evidence suggests that these machines are highly addictive, causing real and lasting damage to gamblers.
"They have become a huge problem in communities that are often struggling to cope with under-investment and high unemployment, exacerbating the problem of gambling more than any other former of betting."
Lord Bourne told her he would look at the issue and reflect on it.
He said the UK government had not considered the issue as it did not feature in the report of the Silk Commission on devolution and therefore was not discussed during the St David's Day process on future devolution.
The UK government has agreed to consider giving Wales the power to ban fixed-odds betting terminals.