The Sun says O'Hare is being watched by Fulham and Everton, while he is also wanted by Southampton should they secure Prem promotion.
O'Hare, 25, is available at the end of the season when his deal expires in June. The midfielder has rejected a new contract offer from the Sky Blues.
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He has bounced back from a knee ligament injury to star for Coventry this season.
O'Hare has made it clear to Coventry he feels it the right time to leave this summer.