Gareth Bale has given a strong indication that he expects to remain with Real Madrid next season.
Bournemouth have signed Artur Boruc on a permanent deal following his release by Southampton.
The Rams are waiting to hear from City as to whether they are interested in a deal for the 28-year-old.
O'Connor has been made available for transfer by Derby boss Nigel Clough and he is in the final year of his contract at Pride Park.
O'Connor played under current Robins head coach Sean O'Driscoll at both Bournemouth and Doncaster.