But England coach Fabio Capello was quick to lay down the rules for a potential visit after the shock departure of Anfield manager Rafa Benitez.
Kop hero Dalglish is now helping the Reds to find a replacement and will want to talk with two of the club's biggest names.
But Capello would not welcome any distractions to the England camp.
He said: "We are focused on the World Cup, not club problems. We are focused on training every day, that's it."