Jurgen Klopp has now progressed from six consecutive group stages in the competition with Liverpool, a club-record run, after the Reds dominated on Thursday (AEDT) in Amsterdam.

Salah scored his sixth goal in his last four Champions League games with a 42nd-minute opener, before Darwin Nunez and Harvey Elliott added quickfire second-half finishes to seal victory.

Ajax will drop into the Europa League by avoiding a resounding defeat at winless Rangers on matchday six, while Liverpool must beat leader Napoli by an unlikely four goals to win Group A.

Ajax should have taken a third-minute lead but Steven Berghuis struck a gilt-edged opportunity against the right post, with the midfielder curling narrowly wide shortly after.

A resolute Liverpool continued with their backs against the wall before Andy Robertson smashed a rare Reds chance just off target, but Klopp's visitor soon hit the front.

Jordan Henderson delicately chipped through for Salah to neatly lift over the onrushing Remko Pasveer, before Nunez inexplicably smashed the left post with the goal gaping two minutes later.

Nunez made amends after the interval, heading Robertson's corner in off the right post before Elliott fired into the roof of the net two minutes later.

Substitute Kenneth Taylor blasted a presentable opportunity over after the hour mark, though Ajax never threatened an unlikely comeback.