Benitez invested heavily in his Anfield squad during the summer in a bid to turn the Reds into serious Premier League title contenders.
But there have been reports that the Liverpool boss is unhappy with the delay in finalising a permanent deal for on-loan midfielder Javier Mascherano.
Gillett and Hicks have now released a statement in an attempt to put the focus on the club's upcoming fixtures, starting with the weekend's game against Newcastle United.
"We made a significant investment in the playing squad during the summer and desperately want this team to succeed," read the co-chairmen's statement on the club's official website.
"There are some very important games coming up in the next couple of weeks and all of us need to focus on winning those games and getting the best out of the players we already have at the club.
"We will leave any talk of buying or selling players until we come across to Liverpool in December and sit down with the manager then."
Benitez spent a club record fee to bring Fernando Torres to Liverpool in the summer, and also splashed out on Yossi Benayoun and Ryan Babel.