Northampton have sacked Aidy Boothroyd after their 4-1 defeat to Wycombe left them bottom of Sky Bet League 2.
Gareth Bale has indicated that he felt a need to be the main man at Tottenham, saying he tried to "make everything tick".
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.