The loss of the midfielder, who will undergo assessment on Sunday, aided Wolves in briefly establishing a foothold prior to Erik Lamela and Lucas Moura's quickfire first-half goals.
Tottenham will be looking to keep the pressure on the top four with a win when they take on Wolves at Molineux this evening.
Three minutes later it was 2-0 when Moura powered in a free header from Kieran Trippier's looping cross.
But the Argentinian explained that he wanted to protect the South Korea global from fatigue following his exertions during Wednesday's Carabao Cup tie at West Ham.
Meanwhile, Kane's strike in the Midlands means that he's scored in 27 of his last 27 league away games, a tally he will be bidding to enhance away to Crystal Palace next weekend, although first off he has a crunch Champions League clash at home to PSV to look forward to. Harry Winks and Moussa Sissoko have a busy week ahead.
The hosts tried to rally immediately after the break but Hugo Lloris denied Jimenez, Helder Costa and Neves in quick succession.
Mauricio Pochettino's men were made to work hard for three points as Juan Foyth, on his maiden Premier League start, conceded two penalties from which Ruben Neves and Raul Jimenez eroded a three-goal buffer.
Yemeni children die as warring factions block vital aid at port
The port is a key entry point for food and humanitarian aid, but the coalition says the Houthis also use it to import weapons. The offer followed a surprise call by the United States for an end to the Yemen war, including air strikes by the coalition.
DF Kieran Trippier, 5 - Delivered a fine half-volleyed cross for Lucas' goal, but cancelled that out at the other end when his attempt to nutmeg an opponent in a risky area led to Wolves' first penalty.
"The most important is about wanting to play for Tottenham".
MF Moussa Sissoko, 6 - A solid presence in the first half but went missing when Wolves fought back in the final 20 minutes.
On an evening when the depth of his squad seemed at risk of being exposed with an injury to Mousa Dembele and a shaky Premier League debut by Juan Foyth, Tottenham manager Mauricio Pochettino saw his side nearly contrive to throw away a 3-0 lead. "They are suffering up front, scoring very few goals and Kane could be the solution".
Nuno Espirito Santo's side have now lost three games in a row and slipped to 11th in the standings and the Portuguese coach lamented that their disallowed goal did not stand.
MF Christian Eriksen, 5 - Replaced Son but had little impact as Wolves launched their fightback.
MF Son Heung-Min, 7 - The South Korean was expecting a night on the bench but had to replace Dembele mere seconds into the match. 3-2 Game on!