Tonda Eckert's team are just two points outside of the top six after stringing together four wins in the last five games.
The Saints welcome former manager Nathan Jones and his Charlton Athletic team to St Mary's on Saturday, hoping that another win will lift them into a play-off spot.
On loan striker, Cyle Larin, has scored in each of Southampton's last two games. Sporting director, Johannes Spors, will be aware of the need to replace him, even if it is for another season in the Championship.
Saints' heads turned by Danish target man
Now, it seems, the Saints could turn their attention towards impressive Bodo/Glimt striker Kasper Hogh ahead of the summer transfer window. That's according to SportsBoom.
The 25-year-old has scored 43 goals in 83 games for Bodo, as well as providing a further 12 assists.
His goalscoring exploits in the Champions League have shot him to prominence and he could be the ideal fit for a club with Premier League ambitions.
Southampton has been fertile ground for Scandinavian forwards in the past. In the 90s, Norwegian Egil Ostenstad was a popular and prolific goalscorer at the Dell.
Although promotion is not out of the question this season, Sport Republic will be planning for a more authoritive and sustained campaign next year.
Spors has proven himself an astute mover in the market
Spors has proven himself an astute mover in the transfer market, bringing in the likes of Caspar Jander, Léo Scienza, and Joshua Quarshie. Only Damion Downes has been a disappointment of the players brought in during the summer window.
Southampton's chances of landing Kasper Hogh might be considerably enhanced if they are promoted somehow. The Dane is reaching his peak and may not be thrilled at the prospect of Championship football.
The €15-18m-rated player scored a brace in his side's shock 3-1 victory against Manchester City, before netting the winner in a 2-1 win against Atletico Madrid in their final group game that saw them secure a playoff against Inter Milan.
Should the Saints land Hogh this summer, it would be a statement of intent. Promotion to the Premier League comes at a price. Staying in the world's best league is even more difficult. In Saints' current predicament, £15.7 million is peanuts.
Southampton have been alerted to an impressive £15.7 million modern day target man, according to reports.