Senator Farrell raised the proposal during G20 trade meetings in Milwaukee this week with US Trade Representative Jamieson Greer and Agriculture Secretary Brooke Rollins.
Australian lamb exports to the US already face a 12.5 per cent tariff, along with many other Australian products. American sheep producers, backed by 29 Republican members of Congress, have been lobbying for further tariffs specifically targeting sheep meat and wool from Australia and New Zealand. In January, the group wrote to Mr Greer arguing that foreign competitors have "consistently taken advantage of our relaxed barriers and used them to undercut and infiltrate the US lamb market."
Senator Farrell told The Australian newspaper he received a "positive" response from Mr Greer and Ms Rollins. Representatives for the US officials have not responded to a request for comment from the ABC.
"We have an opportunity for Australia and the United States to work together to grow the lamb industry," Senator Farrell said in a statement. "We want to see industry, both in Australia and the United States, succeed so that more consumers can enjoy high-quality lamb."
Australia supplies more than 70 per cent of US lamb imports. Last year, the country exported about 100,000 tonnes of sheep meat to the US, valued at more than $1 billion.
Senator Farrell has argued the superannuation sector has an obligation to the national interest, but acknowledged the funds themselves ultimately decide where to invest their members' money. The ABC has contacted the Association of Superannuation Funds of Australia for comment.