They welcome Kosovo to St Mary's on Tuesday night with the visitors occupying second spot and now on a 15-game unbeaten run.
Despite going behind so soon, England were back on the front foot after Berisha's opener. Continuing that run over Kosovo, the team now occupying second spot, would give Southgate's side control of the group ahead of an away double-header against the Czech Republic and Bulgaria next month.
Sancho then added England's fourth and fifth goals before half-time, finishing off a pair of blistering counter-attacks in which an electric Sterling set up the teenager for two easy finishes.
The hosts responded well and drew level in the eighth minute, Keane heading a right-wing Ross Barkley corner back across goal for a leaping Sterling to profit from close range.
Kosovo's players and coaches were furious but the goal stood. Keane panicked and tried to play the ball across to Harry Maguire, Vedat Muriqi cut it out and gave Velon Berisha the chance to bury a shot past goalkeeper Jordan Pickford.
Jadon Sancho scored twice in two minutes - the 19-year-old winger's first goals at senior worldwide level - to cap an England comeback that also featured goals for Raheem Sterling and Harry Kane.
Thoughts on the first half of England vs Kosovo?
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In this sense, their self-interest diverges sharply from the regular, everyday people of Hong Kong or Taiwan. Authorities also targeted suspected protesters in metro stations, beating them with batons .
"They have the longest unbeaten record in Europe".
"Our experiences of taking the team around the country have been really positive".
Kane has now scored six goals in qualifying - not to mention the fact he has now scored 19 goals for England whilst wearing the captain's armband.
And in Group A they've won three out of three and netted 14 goals.
Lingard started the first three games of the season for Man United but he started the last game on the bench which was a clear indication that Solskjaer is not too confident with him starting every match.
- Raheem Sterling has been involved in 12 goals in his last eight England worldwide appearances (eight goals, four assists).