Three headed goals left Gordon Strachan's side in dire straights, as they are now six points off the English, who occupy top spot after four qualifiers.
His side face Spain in a friendly on Tuesday after which his future will be determined.
"I think there are often appointments at clubs without interviews", Southgate said. "I've really enjoyed the role, the responsibility, the challenge of every part of it". I enjoy winning. The person on the outside is different to the animal that wants to win football matches.
Asked where his future stands after the result Strachan said: "If you think I'm anxious about myself at this stage then you are sadly mistaken about my character. There are nights where you have to get over the line and get the result, but it's been a brilliant experience".
There was much for England to ponder following their performance, with the result one of few positives to be taken from the night.
"I've avoided answering that [if it was right to assume he wants the job full-time] because I don't think it's necessary".
"At the same time I feel really really hurt that they had to go through that last 15 minutes after putting in so much and believing in what we were trying to do".
"Obviously Julen (Lopetegui, Spain head coach) has been the Under-21 manager so he knows how the system is there, he has worked with so numerous players and the style, so, yeah, it is going to be a huge test for us".
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"However, before that point there were moment where we were less controlled and had to dig in at times".
After James Forrest and Snodgrass both missed good chances in the opening moments of the second half, England again caught the Scots cold at the back as Danny Rose's cross found an unmarked Adam Lallana to head home. But as a group of staff we've prepared the team really well and created a good environment. They gave it their best shot.
Needless to say, the same looks set to happen against Scotland.
"Yes, some of our first-phase build-up play was sloppy and there were moments when we weren't as controlled and had to dig in. We have to work at one or two things, but I don't know if we can work any harder than we do in terms of playing and training and coaching". We started very sloppily.
However, not only would Strachan's men need to get results against Slovenia and England - as well as Slovakia when they come to Hampden - they'd need to avoid being the worst runner-up from the nine groups.
Strachan said: "That's what you get from world-class players, I'm afraid, when you're on the other side. But he also knows what I think of some of the things he did!"
"Then in the second half we got two chances and didn't capitalise, they went up and got their second shot on target".
"You think I'm thinking about myself when all these guys have gone through that, all their families have travelled down here, the supporters travelled down here?" You absolutely don't know me.