Spurs signed Micky van de Ven in the summer and he has wasted little time to cement a regular spot in the starting eleven at the start of the season.
Tottenham did sign 18-year-old Ashley Phillips too but he is not seen as someone who can provide regular minutes at the senior level at the moment despite Postecoglou counting him as one of his options.
Spurs also allowed Davinson Sanchez to seal a permanent move to Turkey last week and the manager conceded that he has left them a bit light in terms of centre-back options.
The Spurs boss did concede that he would have liked one more senior centre-back signing but insisted that there are enough versatile players in his squad who can do a job if needed.
The Australian said in a press conference: “We are a little bit light but for Davinson it was a good opportunity where he could get a long-term contract.
“We needed to rebuild the squad and it was never going to get done in one window.
“It is fair to say we need probably another centre-back within the squad but we have players who are fairly functional and who can do a job.
“We have young Ash as well.”
Tottenham are second in the league table and have won three out of their opening four Premier League games at the start of the season.