McKenna has emerged as a target for Celtic after the resignation of manager Brendan Rodgers this week.
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Ipswich are aware of Celtic's interest and The Sun says they will insist on at least £5m to part with McKenna.
McKenna is on a deal to 2028 with the Tractor Boys.
And Ipswich accept the Ulsterman will struggle to resist an approach from Celtic should that arrive.
