The Saints endured a hectic summer which saw the squad torn apart, but the club rebuilt well and they continued their solid start with an emphatic 4-0 win against Newcastle yesterday afternoon.
Many suggested that Koeman's side would struggle this season and some even suggested that they were in a "crisis" before the start of the new season.
But seven points from their opening four fixtures is a solid start and an encouraging run of fixtures in the next few weeks should see the Saints continue to impress.
The Saints have scored eight goals in four games so far and conceded just three, whereas last year the club had scored just two goals but conceded the same number under Mauricio Pochettino.
Despite major changes to the squad, the Saints have continued to play free-flowing attacking football, with new striker Graziano Pelle netting three times already this season.
They started the last campaign in reasonably good form, but they are already two points better off than they were 12 months ago and they have only improved as a team.
|2013/14||Points||Goals||Goals Conceded||Clean Sheet||Total Scoring Att / played||Accurate Pass / played||Possession Percentage||Won Tackle / played||Played|
|2014/15||Points||Goals||Goals Conceded||Clean Sheet||Total Scoring Att / played||Accurate Pass / played||Possession Percentage||Won Tackle / played||Played|
The Saints have scored five more goals in the same number of games as last year, and have made almost 50 more accurate passes per game as well.
They have had less possession than they did under Pochettino, but that won't bother Southampton supporters, as they are looking more dangerous.
Koeman's side have conceded one more goal after the first four games than they did last season, but they have won more tackles per game and have yet to concede a goal at home this season.
Pochettino led the Saints to their best finish in the Premier League in over ten years last time out, but despite fears that they would only go backwards, Koeman has only improved the side and they will be hoping that their success continues.
Are Southampton in better shape now than they were a year ago? Can they finish higher than their eighth place finish from last year?