Clare’s contract at Wednesday is due to expire, and both Celtic and Rangers want to bring him to Scotland.
The Glasgow duo would only have to pay minimal compensation to land the central midfielder, and he has reportedly held talks with both clubs.
Rangers have already been very active in the transfer window since Steven Gerrard took charge, with a host of new faces arriving at Ibrox.
Rangers are expected to make wholesale changes this summer in the hope of catching Celtic, and Clare is believed to be on their wishlist.
Brendan Rodgers, meanwhile, reportedly sees the youngster as someone who could develop into a star at Parkhead.
Clare has only made a handful of appearances for Wednesday throughout his career to date, but he has always impressed at Championship level, and could make a fine addition to either Celtic’s or Rangers’ squads for next season.