Klopp gave strong consideration to starting him against Paris Saint-Germain last Tuesday - the idea, with Roberto Firmino injured, was to play Shaqiri out wide and move Mohamed Salah into a central position - but the time may now be right to introduce the 26-year-old. He's in good shape and scoring is not something that can be taken for granted.
Liverpool are second in the Premier League table, level on points with Chelsea, and face Southampton at Anfield on Saturday, and Klopp says Salah remains a "threat" to the opposition. At the end of the season we will see how it was, not at the beginning.
The former Republic of Ireland worldwide established a reputation as one of the Premier League's most prolific strikers during his time with Tottenham, but had limited success after moving to Liverpool for £19m in 2008.
"On the defensive side the last two games were outstanding, flawless from him". He is in a good shape, actually, and then finishing is never something you can take for granted.
"I'd love to play in their front three, I'd fit in ideal!" "The rest will follow", said Klopp. "Did I speak a lot about lineups here in the past?"
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"Dejan is close. He looks really fit".
"That's good, so good work from the fitness department".
Alex Oxlade-Chamberlain also recently reached a milestone in his rehabilitation from serious knee ligament damage by passing a ball for the first time since surgery.
While last season all the praise was lavished on Liverpool's front three, so far it has been the midfield which has been winning all the plaudits.
"Ox is a different situation but it's so nice to have Ox around", added Klopp. He can play football, and that makes him a pretty valuable player. But he will always be a very important part of the squad because of the guy he is.
After a shoulder injury in May's Champions League final, Salah had a disappointing World Cup and on his return to English football does not yet look like the player who terrorised defences, scoring nearly at will.