With only one victory in the last 12 games and slipping towards the relegation zone, the Cottagers were in need of a win.
Jol told Sky Sports One: "We are in a false position but the league doesn't lie. Starting the new year with three points is great."
He was full of praise for goal-scorer Dimitar Berbatov.
"He wants us to win and do well and pass it," said Jol. "I am very happy with him."