The 30-year-old has agreed a mutual termination of his deal with Chester following their recent relegation to the Blue Square Premier.
And Bob Gray, Chester's chief executive, has confirmed that the Don Valley Stadium outfit have been in touch with him regarding the former Hull winger.
"We have received an enquiry from Rotherham and whilst we still hold Kevin's contract, we wouldn't stand in his way if Rotherham wished to take the matter further," he told the Liverpool Daily Post.
"We have started preparing for next season and obviously our manager, Mark Wright, only wants players at the club who want to play for us."
Ellison is in his second spell with Chester and has made in excess of 100 appearances for the club.