The People reports that Hughes is keen on signing the right-back and Spurs are prepared to let him go for the right price.
Corluka left Manchester City for Spurs in 2008, while Hughes was in charge at Eastlands.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.