The capital giants have been linked with a number of full-backs but have thus far not managed to boost their squad with any new additions in the winter window.
Chelsea have been unable to maintain a title challenge in the Premier League, with the club now 12 points behind league leaders Manchester City, having won just one of their last seven in England's top flight.
According to the Evening Standard, Tuchel wants at least one new signing to be made before the winter market closes for business.
Chelsea will be bidding to return to winning ways in the Premier League when they welcome Antonio Conte's Tottenham Hotspur to Stamford Bridge on Sunday. body check tags ::