The Belgium international has long been linked with a switch to the Premier League, with Brendan Rodgers and Alan Pardew reportedly courting the 24-year-old in recent seasons.
Alderweireld says he is open to leaving the Amsterdam ArenA, but only for a club competing at the top of the England top flight.
"I do not want to play in an English club in midtable. Unlike Newcastle, Liverpool meets my criteria," he told reporters.
Rodgers is expected to sign a new center back in the summer with veteran Jamie Carragher set to retire and out-of-favor Martin Skrtel thought to be edging closer to the Anfield exit door.
Alderweireld has shined for Ajax this season, stepping up following the departure of former club captain Jan Vertonghen to Tottenham to make 36 appearances and notch three goals.