The Romania international joins Destiny Udogie, Guglielmo Vicario, James Maddison, Brennan Johnson, Timo Werner, Wilson Odobert, Cristian Romero and Dominic Solanke on the sidelines, while fellow defenders Micky van de Ven and Ben Davies have only recently returned to action.
Dragusin joined Tottenham from Genoa in a £25m deal in January 2024.
On Sunday, Tottenham signed Austria defender Kevin Danso on loan for the rest of the season, with a purchase option worth £21m.
On Monday, they had a £70m offer for England defender Marc Guehi rejected by Crystal Palace, but signed 19-year-old attacker Mathys Tel from Bayern Munich.
