With Liverpool losing their first game of the season earlier on Saturday, Spurs had the chance to move up to second in the table and close the gap on the league leaders.
Playing against a side who had taken just one point from the last 27 available, the opportunity was there for the taking.
Thomas Frank's side often looked too predictable going forward as their countless crosses into the box were easily dealt with by Sam Johnstone.
Perhaps Mohammed Kudus could have done better with his header from close range, which was tipped onto the crossbar by the Wolves keeper, while Lucas Bergvall should have at least forced a save when he had clear sight on goal in the first half.
The hosts appeared to lack spirit after going behind as they were sloppy in possession and struggled to create anything worthwhile in front of goal.
But a moment of brilliance from Joao Palhinha saved the day to keep Tottenham third in the Premier League, just four points behind Liverpool.