Postecoglou was asked in January whether his struggling side were in danger of relegation after a run of one win in 11 matches but the Australian says the notion was always "ridiculous" and designed to pile more pressure on himself and the club.
Spurs scored twice in each half at Portman Road to make it three league wins on the bounce for the first time since December 2023 and climb to 12th.
"I just feel like we've got a really good opportunity in these next 10 days to be well equipped for what's ahead.
Dejan Kulusevski scored a fourth on the break, and Postecoglou was full of praise for his players, including centre-backs Kevin Danso and Archie Gray.
Head coach Ange Postecoglou says talk of Tottenham being dragged into a relegation battle was "hysteria" and believes his revitalised squad can push up the table after Saturday's 4-1 win over Ipswich.
