The Greens have called on Prime Minister Malcolm Turnbull to refer the Trans-Pacific Partnership Agreement (TPP) to the Productivity Commission for economic assessment, citing the need for proper scrutiny.

The Greens' federal spokesman for trade, Senator Peter Whish-Wilson, has made the written request to Mr Turnbull after the 12-country trade deal was clinched in the US earlier this week.

In a statement, he said the public had the right to hear the "full story".

"The Parliament and the public need to be given all the information so they can make up their own minds about the pros and cons of these deals," he said.

"If the TPP really is the 'foundation stone for future prosperity' that Malcolm Turnbull says it is then he should have no fear in putting it up for proper scrutiny."

Senator Whish-Wilson said concerns over the controversial deal had previously been raised by the Treasury, which stated the benefits of free trade agreements had been "oversold".

The deal involves Australia, Canada, the US, Japan, Malaysia, Mexico, Peru, Brunei, Chile, New Zealand, Singapore and Vietnam.

It has been described as "win-win" by Mr Turnbull, who said it would drive job growth.

The details remain under wraps and face difficulties in Canberra, where Labor is seeking a briefing on the finer points.

Labor's trade spokesperson, Penny Wong, said the Opposition wanted to examine the details before voting on the deal.

"We said a red line for us was ensuring that there would be no impact on the accessibility and affordability of medicines in this country," she said.

Independent senator Nick Xenophon also raised concerns over medicine prices, labelling the deal a "Trans-Pacific dud".