Barca were courting his former Ajax partner Davinson Sanchez last season, only to see him depart for Tottenham Hotspur.
The Catalan side have since made Netherlands international De Ligt their top target to bolster their back line and are ready to make a move for him in January.
However, De Ligt's representative, Barry Hulshoff, maintains he has no interest in leaving in the winter.
"The intention is to stay at Ajax at least until summer," he told Ziggo Sport.
"He signed a new contract in Amsterdam in August 2017. He is fixed until the summer of 2021."
And former Ajax and PSV coach Aad de Mos believes staying in the Dutch capital would be for the best, saying: "I think if he stays with Ajax for another two years, he will be even more desired by the top European teams."