The Coventry board is considering two offers to help the cash-strapped club out of its financial crisis.
Coventry moved into the Ricoh Arena in August 2005
The Sky Blues are about £30m in debt and chairman Geoffrey Robinson and managing director Paul Fletcher resigned earlier this month.
But City's board met on Tuesday to discuss the proposals and a further announcement is expected soon.
US-based Manhattan Sports Capital Partners Limited recently withdrew their interest in taking over the club.
New City chairman Joe Elliott told the BBC on Sunday the club could go into administration in the new year unless a buyer or major new investment is found.
And the Football League has imposed a transfer embargo on the club after an instalment payment to Southampton for the transfer of Leon Best was missed.