Leicester City have been linked with an interest in the Norwegian international, with manager Brendan Rodgers eyeing a reunion and said to be willing to part with £18 million.
Ajer has also been linked with AC Milan, Borussia Dortmund and Real Madrid, but Celtic legend Chris Sutton has questioned the legitimacy of such rumours, citing the need for Virgil van Dijk to first move to Southampton before securing the big Liverpool move.