The England international was prevented from linking up with Gareth Southgate's squad for October's World Cup qualifiers due to a groin injury he suffered last month.
Alexander-Arnold sat out games against Porto and Manchester City before the international break, with the versatile veteran James Milner deputising at right-back.
The good news for Klopp comes after he was dealt a blow on the attacking front with Diogo Jota, who has been sent home early from the Portugal camp due to a muscular issue.
Alexander-Arnold already boasts three assists from six games in all tournaments this season as Liverpool sit second in the Premier League table. body check tags ::