"There is a problem with Islam because Islam requires (holy) sites and recognition," Hollande told two journalists from Le Monde newspaper for the book which will be published tomorrow.
"It's not Islam that poses a problem in the sense of its being a religion that is dangerous in itself, but because it wants to assert itself as a religion in the (French) republic," he is quoted as saying in "Un president ne devrait pas dire ca", which translates as "A president shouldn't say this".
Immigration and national identity are key themes in campaigning for next year's presidential election, which has echoes of the US race for the White House, with far-right leader Marine Le Pen riding high in the polls.
A string of jihadist attacks in France in the past two years, coupled with the Europe-wide migrant crisis, have stoked anti-immigration sentiment.
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A heated debate about Muslim integration in staunchly secular France came to a head over the summer when around 30 towns banned the body-concealing burkini swimsuit.
The deeply unpopular Hollande has not yet declared whether he intends to stand for re-election.
But his arch-rival Nicolas Sarkozy, bidding for the centre-right nomination, is campaigning heavily on populist anti-immigration themes.