In his first season at the Championship club, Irvine has been a revelation for the Brewers with a string of superb performances from midfield for the newly-promoted club.
The 23-year-old has scored eight times to be the Championship’s highest-scoring midfielder, while his energy and ability to arrive late into the box has been a feature of his play.
It has lead to reports clubs like Derby County, Birmingham City, Aaron Mooy’s Huddersfield and even EPL side Swansea City are looking to snatch Irvine away from Burton during the current January transfer window.
But Clough denied there had not yet been any approach for the in-form Aussie and hopes to extend his deal at the club.
"We have had no calls or anything. We will do everything we can to keep him [Irvine] anyway,” Clough said on Albion’s official website.
“Players move all the time against clubs wishes but Jackson is the sort of lad that, having given him the opportunity in the summer, he will see it through and want to stay with us and try and keep us in the league.
"He has good representatives and they are not actively seeking things at the moment and we are in the process of trying to offer him a new deal as well."
Irvine is just over six months into a three-year deal at the Brewers after joining from Scottish club Ross County in the European summer.
Burton is currently just one point and one place above the relegation zone in the Championship ahead of a huge clash with Wigan, second from bottom, this weekend.
Meanwhile, Caltex Socceroo winger Robbie Kruse could be heading for China, according to reports.
Kruse is hoping to move on from German giants Bayer Leverkusen with first-team opportunities limited, and Chinese club Liaoning Whowin is favourite to sign him say reports.
It’s understood Liaoning has tabled a two-year deal for the 28-year-old winger, although he has also reportedly received interest from the MLS and the Middle East.