Football Association chairman Greg Dyke says "we'll all shoot ourselves" if England fail to progress from their group at Euro 2016.
Roy Hodgson's side have been drawn alongside Wales, Russia and Slovakia for the tournament in France, which starts on 10 June.
"We've got to get out of that group," said Dyke. "If we don't, that really is bad news for English football."
Dyke added he believes England can win the World Cup again "one day soon".