He said the rhythm of newspaper journalism is different to other media, and that he wants the Independent's journalists to focus on writing considered, analytical pieces.
"If you say to somebody like Andrew Grice 'write for the internet as well', he will spend the day just updating rather than writing and getting stories and talking to the people he needs to talk to in order to produce an informed piece," said Mr Fallon.
"I'd prefer to produce a well-informed, analytical, considered paper."
The New York Times announced last August that it is integrating its print and online operations to "raise its digital journalism to the next level".
Management said that staff at the print newsroom were at ease with the web and "eager to embrace it both as an opportunity for invention and an alternative way to reach a demanding audience".
Just last month, UK broadsheet the Telegraph said it is beginning to merge its on and offline teams following visits by senior executives to the New York Times and Bloomberg offices.
Mr Fallon also said that no-one has managed to monetise editorial sites beyond minimal advertising revenue, although the Guardian recently claimed that its website will record a £1 million profit for the year.
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