Clough has been touted as a potential candidate to take over at the City Ground after Dougie Freedman lost his job earlier in the week.
However, when quizzed on Forest’s interest the 49-year-old dismissed the question, simply stating that his full attention was being dedicated to Burton’s match against Port Vale at the weekend.
"We'll be at Port Vale on Saturday," Clough said, when asked whether he’d be interested in the Forest job.
Clough did go as far as confirming that Forest have not approached him yet, but he would not rule out a move.
Clough has only been at Burton since December 2015, but he has made an impressive impact at the Pirelli Stadium.
The former Derby County boss has kept the Brewers’ promotion push going, with the Midlands side currently sat top of the League One table.
If Clough was to leave Burton he would be the third manager to leave the club in quick succession, after the departures of Gary Rowett and Jimmy Floyd Hasselbaink in recent seasons.