Premier League trio Wolves, Norwich City and Sheffield United are also reported to want the Bolton Wanderers youngster.
The 18-year-old, who can operate as a defender or as a midfielder, is out of contract at Bolton this summer and is available for training compensation.
According to The Daily Record, Celtic have an advantage over the likes of Wolves, Norwich City and United in that they will not have to pay as much of a tribunal fee as clubs in England.
Promising young talent
Connell is a very talented and promising young player who can only get better in the coming years.
The versatile player will be a smart long-term signing for any club, but he has to pick a team where he stands a chance of playing regular first-team competitive football.
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