They are also in contention to qualify for the next phase of the Europa League, and play Tamworth in the third round of the FA Cup on 12 January.
“It’s not like our schedule’s going to ease up at any stage. So I think it makes sense. We will try and reinforce,” added Postecoglou.
“You don’t just want to panic and bring in anybody, that you don’t think will help our cause in the back half of the year, but I think we’ve already shown we are pretty methodical and prudent about our work.”
Postecoglou has faced questions over Spurs’ recent Premier League results and his tactics, but he refused to place any of the blame on his players.
He added: “They are giving absolute maximum effort and that’s backed up by the physical parameters you put against what they’re doing. They’re trying to do it in the way that I’m asking them to. So how can I be critical of that?”
Postecoglou also defended his reaction last week, where he accused a Match of the Day reporter of discounting the impact of Tottenham’s defensive injuries after their defeat by Liverpool.
“I wasn’t angry, but I don’t know many managers that bounce into interviews after a defeat and are all cheery,” he said.
“Fair to say I am getting tired of the same questions over and over, and perhaps after a defeat it’s easier to get a reaction.”