But the 54-year-old has warned about the effect that such pressure has on the national side.
"It is an wonderful feeling to score, no matter what the time, and it's great to go through to the World Cup".
"In some areas, we think we can look at different things".
"We are getting to know each other more and more, every time we are together".
"They are young players we have to try to get behind".
Here, Press Association Sport looks at five reasons to be cheerful and five to be fearful when England head to Russian Federation next summer to take on the world's best.
"I feel good", Hart said.
"But we have had, in my period in charge, six wins, two draws, with one of the best defensive records in Europe in qualifying".
The result means England have not lost in their last 20 World Cup qualifiers - a run that stretches back eight years - and they have topped their World Cup qualification group for the sixth time in succession. Teams won't be able to cope with us with two up front.
"What is the role of the manager?"
"In the end, for English football it's crucial to be at the World Cup", Southgate said.
Kane's stoppage-time victor against Slovenia at Wembley was his 14th goal in his last nine matches for club and country and as long as he is in the side and in this kind of form, England have half a chance.
"As a young team and having to deal with the expectation and criticism of their performances, it is tough for them".
"I don't think there is just one thing, we need to work on everything", he added.
"They are giving absolutely everything they have got". They don't have Champions League winning medals between them.
"We should be proud as a team and as a nation", the Spurs striker said. "All I have to do is keep winning football matches".
Jamie Redknapp has urged England to finally perform on the big stage after securing qualification for the World Cup in Russian Federation.
"There will be England supporters going to Lithuania and we have a duty to put a performance on".
"We dust ourselves off, we have got another game on Sunday, we are not thinking too far ahead and (will) keep doing what we are doing and see what happens".
"But we're there [at the World Cup] and now we build and we look to where we can improve all the time".