His 93rd-minute equaliser prevented England from falling to a first defeat against Scotland since 1999 in June's 2-2 draw in Glasgow and he netted twice as Southgate's men won 4-0 away to Malta last month.
The Scots, missing from the World Cup since 1998, will be guaranteed second place in Europe's Group F and a potential place in the play-offs if they beat Slovenia on Sunday.
"We qualified last time, we get to major tournaments and then we completely freeze".
In 13 competitive England games, Kane has scored six goals and become one of the shining lights during a dark period for the national side and The FA. The Manchester United youngster chipped the ball over Oblak, but it was cleared before it could cross the line.
Harry Kane & Joe Hart post-match interview after England 1 - Slovenia 0Job done!
Yet Southgate, who took over from Sam Allardyce after one game in Group F and has sealed top spot with a game to spare, said the only thing that mattered for now was that England had completed their first task of making it to Russian Federation.
"It's the nature of playing for England and managing England", said Southgate, who stepped into the breach after Sam Allardyce was brought down by a newspaper sting following just one game at the helm.
Time to update the 1791 Second Amendment
In fact, the more closely one looks at what passes for "common sense" gun laws, the more feckless they appear. As for protection against foreign nations or a takeover of the USA government, owning a gun will not help.
Google vies to make even smarter phones, speakers, cameras
The Pixel 2, on the other hand, adorns a look that will appeal to the younger generations and be practical at the same time. Among the various products launched by Google on Wednesday, one thing in common was their reliance on Google Assistant .
Brazil U-17 vs Spain U-17: how and where to watch
The competition was founded by Federation Internationale de Football Association in 1985 as the U-16 World Championship. We are still the best and we are going to prove to everyone that we are still the leaders.
NRA says it's open to regulation of bump stocks
Other lawmakers from the GOP, traditionally the pro-gun, NRA-backed party, said they were open to such a legislation . Speaker Paul Ryan said in an interview with MSNBC that aired Thursday it's "clearly something we need to look into".
Should Congress take a new look at gun-control laws?
Richard Blumenthal said in a statement . "It's entirely premature to be discussing legislative solutions, if there are any". With a chuckle, Ryan told reporters , "by the way, we're bringing up our budget this week - I don't know if you knew that".