Bonne is said to have sparked 'major interest from around the country' after scoring 23 goals for the National League winners this past campaign.
And Sheffield United, Sheffield Wednesday and Sunderland - as well as Leicester City, Middlesbrough and Charlton Athletic - are each listed as interested parties.
The broadcaster adds the sextet are buoyed by news of Bonne's £200,000 release clause, but states that Orient are 'believed' to have offered the 23-year-old significantly improved terms in an attempt to keep him at Brisbane Road.
Numerous other clubs, including several from the Premier League, were credited with interest in Bonne throughout the course of the campaign.
But Sheffield United can now offer top-flight football themselves, with Sunderland hoping to join Sheffield Wednesday in next season's Championship.
Formerly of Colchester United, Bonne is due to represent Zimbabwe at this summer's African Cup of Nations tournament.
Would Bonne be good addition for Sheffield United, Sheffield Wednesday or Sunderland?
Have something to tell us about this article?