Dennis, who bought Frome-based book printer Butler and Tanner in June, stressed his affinity for print in an interview with the Telegraph.co.uk., in which he spoke of the migration of magazines to the internet.
He said: "I do care very much for the printed form. Will that interfere with making Dennis Publishing a truly multi-platform publisher? Absolutely not. My likes and dislikes don't come into it.
"Many magazines have already migrated online, like the fine Christian Science Monitor. Dozens more will have to do the same or fade away."
Dennis added that magazines with a strong visual element, such as National Geographic or Vogue, should stay in print.
See this week's PrintWeek for an exclusive interview with Felix Dennis on his acquisition of Butler and Tanner and his plans for Butler, Tanner & Dennis.
Felix Dennis speaks of his 'passion' for print
Publishing mogul Felix Dennis has reaffirmed his "passion for ink on paper" despite the rise in digital media.