Skysports.com report that Leicester are keen to bolster their midfield options and see Johnson as the ideal addition while Simon Grayson is aware he may need to strengthen if Bradley Johnson leaves.
City boss Roberto Mancini has voiced his opinion on Johnson's situation and the Italian tactician has confirmed the club are keen for him to get first-team football under his belt.
When asked if any City players could leave the club before the transfer window closes, he replied: "Maybe Michael Johnson because I think that he needs to play. It is important for him, so if we have a chance, Michael Johnson (will go)."