"It's tempting to think that one could stay longer, but it has got to be wanted," he said.
"Sven (Goran Eriksson) and Fabio (Capello) were not that unpopular going into the tournament, but they come out of it and everyone was saying 'oh God, we don't want the next two years (with them)'.
"I don't want that at 68 or 69 years of age."
Appointed in May 2012, Hodgson survived a poor performance at the 2014 World Cup but England have won all five qualifying matches so far for Euro 2016.
(The story adds dropped word in second paragraph)
(Reporting by Steve Tongue; Editing by Julian Linden)
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