The 66-year-old was appointed as national manager in May 2012, signing a four-year deal which will take him through to the end of the European Championship in France.
This summer, Hodgson will lead the England side into the World Cup finals in Brazil and there have been suggestions that his tenure could be brought to a premature end if the side underperforms.
However, Hodgson is hoping that will not be the case and has urged the Football Association to honour their commitment to him.
"I signed a four-year contract and I've always been working myself towards that four-year contract," said Hodgson.
"Whether contracts mean four years when you sign them or not, that's not anything to do with me. That would be other people's decisions.
"I shall be working hard to fulfil the contract and hope that the FA will fulfil their side of it.
"And another one after that? Who knows?"
England face a difficult group at the World Cup in Brazil with Italy, Uruguay and Costa Rica their opponents.
Hodgson is in the process of working out his 23-man squad for the tournament.
On Wednesday, his side beat Denmark 1-0 in an international friendly with Liverpool's Daniel Sturridge the goalscorer.
Before the World Cup starts on 12 June, England have warm-up games against Peru, Ecuador and Honduras.