Independent TD Mick Wallace has spoken to gardaí about allegations he made about NAMA in the Dáil last week that a construction company made two payments of €15,000 "in a bag" to exit the agency.
Speaking to RTÉ News, Mr Wallace said he spent an hour and 20 minutes speaking to two detectives last Friday.
He said he spoke to them about the claims regarding the two €15,000 payments.
He said he had given them all the information he had about the alleged payments and added that he hoped they would get to the bottom of it.
He described the two detectives as impressive.
Last Wednesday, Mr Wallace claimed the manager of the portfolio in NAMA said: "It will cost you €15,000 in cash and I want it in a bag."
He said the construction firm paid the money and a few weeks later "he demanded the same again. They duly obliged and all was sorted".
In response to Mr Wallace's claims NAMA CEO Brendan McDonagh wrote to the Garda Commissioner to ask gardaí to investigate the claims.
Commissioner Nóirín O'Sullivan ordered the Garda Bureau of Fraud Investigation to begin an inquiry and has appointed Detective Chief Superintendent Patrick Lordan to lead it.
A NAMA spokesman said: "The allegation, if not investigated as a matter of urgency, casts a shadow over all NAMA officers and, accordingly, we will ask that the deputy's allegation, including any evidence that he may claim to possess, be investigated as a matter of urgency."
Almost two weeks ago, Mr Wallace alleged that £7m ended up in an Isle of Man account and that it had been reportedly earmarked for a Northern Ireland politician.
NAMA officials have said the agency received all the proceeds from the sale of its portfolio in Northern Ireland to a US company and the money had nothing to do with it.
The UK National Crime Agency has begun an investigation into the allegations, while Stormont's finance committee and the Dáil Public Accounts Committee are also looking at the issue.
The Comptroller and Auditor General is investigating the deal due to losses of €280m in cash.
