Championship club Bournemouth have been linked heavily with a loan move for the young right-back for the rest of the season.
The second tier outfit are in a race for the automatic promotion places and want to add to their backline in their challenge for the rest of the season.
Bournemouth are pushing for the move to take place but it seems the Reds are not likely to sign off on it.
The Reds are not likely to approve the move and thus Williams will not be moving anywhere this window.
It is believed that the youngster himself is keen on remaining at Anfield and vying for a place in manager Jurgen Klopp’s side.
Williams has not been a frequent fixture for the Reds this season as the right-back spot is firmly occupied by Trent Alexander-Arnold.
He has eight appearances in all competitions this season, including three in the Champions League, but is still determined to fight for a place in the team.