Combative central midfielder Austin was reported to be close to moving to Wigan in a £500,000 deal just before the end of the transfer window but Leeds rebuffed the bid with manager Neil Redfearn glad they kept hold of him.
Having turned down Wigan's offer so recently, it would be a surprise if the Whites were to make Austin available for loan now.
Austin started his career in his native Jamaica with Portmore United. He moved to Norwegian club Brann initially on loan in 2008 before joining permanently the following year.
After four years with the Bergen club 6ft tall Austin, who has won 71 international caps, scoring six goals, joined Leeds United in July 2012.
Since then he has made 95 starts and 11 sub appearances for the Whites and has scored seven goals.