As for the hosts, seven of England's last nine goals had been scored or assisted by a Tottenham player so it was no surprise when Kane had their first meaningful, but ultimately unsuccessful, effort.
Never ones to do things the easy way, even when Ireland's group destiny is in their hands, they'll need a bit of help to make the playoffs.
A positive start from England saw Marcus Rashford, Raheem Sterling and Oxlade-Chamberlain all enjoy space in wide positions, but Slovenia were quite comfortable inside the opening 15 minutes at an extremely quiet Wembley.
With the game headed towards a goalless draw, a result which would have nicely summed up the boring clash, Kane once again got on the scoresheet in the 94th minute.
Captain Harry Kane's stoppage time victor helped transform the Three Lions' fortunes after a frustrating night.
"Late goals have been key, we knew that they had to win and would come onto us, so we had to change the formation at the end to give ourselves two up front and try and exploit that".More news: Now, post Instagram 'stories' directly on Facebook
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"If it was my decision I would give it to him (Kane)", Sherwood said on The Debate.
Gareth Southgate has succeeded in steering the team to next year's finals, but it remains to be seen if England's fortunes will change in Russian Federation.
ENGLAND striker Harry Kane is confident he will not be weighed down by the added responsibility of being named captain for today's World Cup qualifier against Slovenia at Wembley.
"We don't have to go out and entertain we just have to make sure we are hard to beat because we have a world-class centre-forward in Harry Kane". The players themselves will determine how the game goes.
"To lead that team out and to have the game pan out like it did, as a striker you dream of that kind of moment, scoring a last-minute victor, so for that to happen here at Wembley is incredible".
England reach World Cup 2018!