Club captain Michael Dawson was sold to Hull over the summer, and there has been speculation over who will succeed him.
Younes Kaboul wore the armband against Liverpool but Hugo Lloris is another who is said to be in the frame.
And Pochettino says he will name his new skipper next week, even though Tottenham face Sunderland on Saturday.
“On Monday it will be communicated who the new captain is,” he said.
“When all of the players are back from the international break and international games – we will talk to the players and then communicate to you, Monday is the day.”