The Saints are still in the hunt for a European place after an impressive season under Ronald Koeman, but their hopes have been dented by a recent poor run of goalscoring form.
Summer signing Graziano Pelle started the season on fire, but has since seen the goals dry up - meaning Koeman should be looking for another striker this summer.
Now, according to the Daily Mirror, the Saints have their eyes on Mexican international Hernandez, who is currently on a season-long loan with Spanish giants Real Madrid.
Hernandez, 26, may have hit 59 goals in 154 games for United, but seemingly wasn't fancied by Louis van Gaal, and was promptly flogged off to Madrid after the arrival of Radamel Falcao in September.
However, he has played just under 400 minutes of first team football for Real this season, and his chances of a permanent move to the Santiago Bernabeu look slim.
The Daily Mirror believe that Southampton are now battling West Ham for the signature of Hernandez at the end of the season, where he will surely be leaving Old Trafford for good.
Whether either side would be able to afford him remains to be seen, with European football for either side surely serving as a huge bonus should they get it.