Reports: Tottenham 3-1 Bournemouth
Fifth-placed Spurs are just three points off the top with the table tantalisingly poised heading into 2024.
“We’re three points off the top so if that is the difference between having a great season and where we are, I’ll take it,” said Postecoglou.
“When you’re trying to build something you will undoubtedly come up against some challenges. I am seeing progress.”
Pape Sarr’s precise finish into the bottom corner opened the scoring after just nine minutes.
But the Senegalese midfielder left the field in tears midway through the first half with an injury that puts his participation in the upcoming Africa Cup of Nations in doubt.
Bournemouth will feel they should have been level before the break as the in-form Dominic Solanke hit the bar amid a flurry of chances.
Instead, the visitors were picked off in the second half.
Son Heung-min is also set to depart for a few weeks to lead South Korea at the Asian Cup.
The Spurs captain signed off in style with a thumping finish from a narrow angle before Richarlison made it 3-0.
Alex Scott pulled a goal back six minutes from time, but it was too little, too late for the Cherries, who remain in 12th.
