The Football Association will reportedly name the new England boss before the end of the Premier League season.
The squad for the European Championships this summer is due to be announced on May 10, but England still remain without a manager.
Tottenham Hotspur boss Harry Redknapp, the favourite for the position, has yet to be approached, according to The Mirror, while West Bromwich Albion boss Roy Hodgson is also reportedly in the frame.
England's final Euro 2012 squad will be officially submitted on May 29.