According to German outlet Kicker, Saints are eyeing up Schalke midfielder Weston McKennie as a replacement for Hojbjerg if the Dane is set to leave Southampton.
McKennie, who boasts 19 caps for the United States Men’s National Team, is 21-years-old and has already racked up over 70 appearances for Bundesliga giants Schalke over the last four seasons.
Of those appearances, he has scored 6 goals for the USA and 4 for the Gelsenkirchen-based club.
Hojbjerg looks set to leave Saints in the hunt for continental competition. His contract expires at the end of the upcoming 2020/21 Premier League season.
When does the summer transfer window open and close?
The summer transfer window opened on 27 July and closes at 23:00 on 5 October.
A domestic-only window for trades between Premier League and EFL clubs will run from 5 October until 16 October at 17:00.