The Saints returned to winning ways in the Premier League on Saturday afternoon with a 4-2 triumph over Villa away from home at Villa Park.
Koeman has taken to Twitter to express his delight at his side’s performance and the manner of the win.
Over the course of the 90 minutes at Villa Park on Saturday afternoon, Southampton had 58% of the possession, took 17 shots of which seven were on target, and earned 11 corners.
The Saints are eighth in the Premier League table at the moment with 54 points from 35 matches.
There is still a chance that Southampton could finish in the European places, but it is likely that they will end up just outside.
However, a top-10 finish in the Premier League this season would still denote success for a club that lost Nathaniel Clyne and Morgan Schneiderlin in the summer of 2015.