The 66-year-old was appointed to the post in May 2012, signing a four-year deal which will see him through to the end of Euro 2016.
There are suggestions a poor showing at the World Cup in Brazil could see his tenure brought to a premature end, but Hodgson is hoping that will not be the case - especially as he remains open to the suggestion of extending his stay.
"I signed a four-year contract and I've always been working myself towards that four-year contract," he told several English newspapers.
"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?"