Stanislav Lobotka gave the visitors an early lead before goals from Eric Dier and Marcus Rashford gave them the 2-1 win, and star striker Harry Kane stated that they will be looking to "get the job done".
England then have a second chance to book their trip to Russian Federation when they face Lithuania live on TV3, on Sunday at 4pm. They have now not lost in 38 qualifying matches. There's a reason for all this hype, of course - he's a truly great player and full of promise for even greater things, and it would not be at all surprising if he were snapped up by a bigger team than Spurs, especially if they manage another trophy-less season.
"We have qualified, and that's all that matters".
England have problems in goal, in defence and in midfield, but despite those shortcomings, they will always have a chance with Kane and Rashford in the forward line, as Kane proved with his stoppage-time victor against Slovenia.
Gareth Bale is out and Georgia is not an easy away day anyway. "We have another game on Sunday [against Lithuania] and we need to keep doing what we're doing and working hard".
Rashford had a super chance to send England ahead just past the hour after racing into the Slovenia box following a swift counter-attack, but the 19-year-old's effort, which had beaten Oblak, was cleared by Rajko Rotman.
Each time a paper plane reached the pitch a huge cheer rang around Wembley, such was the scant nature of the entertainment being served up by Southgate's lacklustre side.
Captain Harry Kane grabbed an injury-time victor at Wembley to secure top spot in Group F but it was another unconvincing display from Southgate's players and the former Middlesbrough boss knows they must improve over the next eight months. It was never a 3-0 performance in Lithuania but we'll take anything we get.
Group winners qualify automatically for the finals in Russian Federation.
Leigh Griffiths is no Kane but he's our main man again and he's started to score some important goals, so a lot of faith will be placed in him.
Already out of contention, the Czech Republic defeated Azerbaijan 2-1 in Baku to move to third, and Mohamed "Moi" Elyounoussi scored a hat trick as Norway routed San Marino 8-0.