According to The Sun, Sheffield Wednesday striker is keen to leave Hillsborough this summer while Cardiff City are interested in signing him on a free transfer.
Rhodes joined Wednesday from Middlesbrough for £10 million in 2017.
But the former Blackburn Rovers man has struggled to make an impact at the club, spending the 2018/19 campaign out on loan at Norwich City.
Rhodes’ contract at Wednesday expires at the end of the season.
The Sun claims Cardiff are in for the 31-year-old striker after failing to sign him on the cheap in January, while Rhodes is looking forward to leaving the Yorkshire club.
Cardiff boss Mick McCarthy has made a big impact since joining the Welsh club.
The Bluebirds have won six of their last seven matches to put them right in the mix for a Championship playoff push come the end of the season.
McCarthy may feel he can revitalize Rhodes and get the former Blackburn top scorer back to the form which made him one of the best strikers outside the Premier League.
Rhodes has scored just 14 goals for the Owls since joining the club.
His disappointment at Hillsborough epitomises the slide Wednesday have been on and the way their poor recruitment has resulted in a potential drop to League One.
Good players have left and been replaced by worse players for higher fees and larger wages. Moreover, there has been a distinct lack of planning and youth recruitment.
Wednesday’s fall may culminate in relegation to League One come this May.