Tottenham reinforced their squad early in the January transfer window by signing Timo Werneron loan from RB Leipzig and centre-back Radu Dragusin in a €30million (£25.8m) deal from Genoa. They are just a point behind third-placed City and trail leaders Liverpool by six which has stoked title race talks in north London.
Postecoglou believes they are in contention and stressed finishing the campaign on a stronger note than the first phase when injuries and suspensions marred them.
He asked a reporter for their definition of "title race" and was told that Spurs do have a "realistic chance of winning the title".
"Yeah, so by that definition if I say ‘no’ you'd turn round to me and say ‘come on Ange’," added Postecoglou.
"We’ve gone through a really tough period and we’re hanging in there. We had four games when results went against us, but we’ve clawed our way back. We’re still in there. Our performances for the most part have been pretty consistent. But all that is meaningless if we don’t finish the season stronger than the first half of the season and that’s what we’ve got to do."