Tanganga has emerged as one of the defenders the Rossoneri are considering signing in the ongoing transfer window.
Tottenham rejected their initial approach for a loan deal, but it has been claimed that progress has been made on that front between the two clubs.
The north London club are open to loaning him out provided a mandatory purchase clause is part of the agreement which takes him to Italy.
But according to Italian outlet Calciomercato.com, Tanganga is not necessarily pushing to leave Tottenham this month despite the lack of opportunities.
A product of the Spurs academy, the defender is very much attached to the club and is not desperate to leave.
However, he is considering options as once Cristian Romero returns from injury, his game time is likely to further go down in the coming months.
AC Milan are in contact with Fabio Paratici who has postponed the talks until early next week.
The north London club want around €25m from the overall deal if Tanganga is to leave the club this month.