Liverpool defender Joe Gomez was injured on international duty with England. The 23-year-old suffered the injury during a training session in preparation for his nation's match against the Republic of Ireland on Thursday.
England manager Gareth Southgate is expected to provide an update on the seriousness of the issue at a news conference on Wednesday.
Liverpool already have Dutch centre-back Virgil van Dijk taking a lot of time off due to a severe injury.
Van Dijk has had surgery on a knee ligament injury picked up against Everton in a 2-2 draw on 17 October.
The Premier League champions have also been without Fabinho, who had been deputising in defence for Van Dijk, because of a hamstring injury.
Additionally, Liverpool have an injury concern over right-back Trent Alexander-Arnold, who was taken off during a 1-1 draw against Manchester City on Sunday.