The lawyer representing federal MP Craig Thomson is claiming vindication for his client, saying subpoenas issued to several brothels failed to produce any evidence.

Fair Work Australia served the subpoenas earlier this month, demanding any records of services provided to Mr Thomson while he was the head of the Health Services Union.

They specifically requested "copies of invoices, receipts, notes, communications, phone logs, audio recordings and/or other records".

The subpoena issued to Keywed Pty Ltd, which is a Sydney-based escort service allegedly used by Mr Thomson, specifically asked for CCTV footage dating back to 2003.

The results of the subpoenas were returned to the Federal Court on Wednesday.

Five brothels or escort agencies did not respond to the request.

Mr Thomson's lawyer, Chris McArdle, says the remaining four told the Federal Court that "nothing is produced".

"The subpoenas came back with exactly what we said the subpoenas would come back with - nothing," he told ABC News Online.

"This is utterly consistent with everything we've said all along - this person simply hasn't done this and what he suffers from is guilt by repetition.

"Every time this is tested, it will come up wanting.

"Of course he's vindicated. People who haven't done anything should be vindicated."

Fair Work Australia also served subpoenas on Qantas Holidays and the company which publishes the Yellow Pages, Sensis Pty Ltd.

Sensis has been given an extension to respond by Friday.

Mr McArdle says the Qantas return provided details of travel undertaken by a union official.

"People have travelled, and the union has paid for their travel, and we say completely legitimately," he said.

"In a national organisation, people have to go around the place in aeroplanes, and that's what the Qantas production of information underlined."

Mr Thomson has consistently denied any wrongdoing in relation to allegations he used HSU money on prostitutes and lavish hospitality.

Mr McArdle says Wednesday's results show Fair Work Australia's case against his client is "idiotic".

"The well was shown to be dry. The net was hauled in, and it had an old boot in it. This is an appalling episode."