The Mail on Sunday says Hodgson will head out to the World Cup this week still waiting to hear whether he is going to be offered one of the biggest jobs in English football and become Liverpool boss.
The Fulham manager has made it clear to the Anfield hierarchy that he wants his future sorted out before he begins a stint as a pundit in South Africa.
Hodgson, who took Fulham to the Europa League final last season, feared he was being kept in reserve as Liverpool failed to attract a world-renowned coach such as Louis van Gaal, Guus Hiddink or Marcello Lippi.
But with a growing bandwagon of support for Kenny Dalglish, Liverpool have realised they must move quickly to stop themselves being pressurised into appointing the Scot. They plan talks with 62-year-old Hodgson in the next 48 hours.