The 27-year-old, who can play in the centre of defence or as a holding midfielder, has been heavily linked with a move in the winter window over the last few weeks.
Newcastle and Leicester are understood to be keen on his services but it has been claimed that Huddersfield have now also joined the race.
The Senegal international joined Anderlecht in 2015 from Genk for a fee of 4.5million euros and signed a new deal over the summer, which runs until 2020.
Town boss David Wagner has been pleased with his side's start to life in the Premier League but has been open about his desire to bring in new recruits in January.
The German believes it is necessary to bolster the ranks if they are to avoid relegation and Mbodji’s versatility has seen him emerge as a top target.