In another blow to new manager Jurgen Klopp, who has seen striker Danny Ings and defender Joe Gomez ruled out for several months with knee ligament problems in the last couple of days, the 18-year-old has reported back to the Reds' Melwood training ground with a hamstring injury.
Press Association Sport understands the club are unhappy the youngster, who has made three first-team appearances this season and been involved in the squad throughout, played the full 90 minutes for England Under-19s three times in the space of just five days - the only outfield player to do so.
Rossiter's injury rules him out of Saturday's trip to Tottenham for Klopp's first match in charge denies him the chance to stake his claim immediately under the new manager.
Gomez's treatment by England Under-21s has also been questioned after coach Gareth Southgate on Thursday expressed his shock at the severity of the injury - the defender is likely to be sidelined for nine months - having said immediately after the match they thought the teenager was okay and it was "nothing too serious".
Klopp also has captain Jordan Henderson (foot), Christian Benteke (hamstring) and Roberto Firmino (back) unavailable at the moment as he finalises preparations for his Premier League debut.
The Football Association declined to comment on individual players' injuries.
Source: PA