Celtic have had in excess of three bids for the Scotland international rejected but talks between the two clubs continue.
The Easter Road club have received no offers for the 23-year-old from any club other than Celtic.
McGinn is in the final year of his contract, having joined in 2015.
Head coach Neil Lennon had said he would continue to select McGinn amid speculation about his future, with the former St Mirren player in the final year of his contract.
And Lennon told BBC Scotland on Friday: "It wouldn't surprise me if there were more offers coming in.
"I said last season he was worth £5m. For me, you're getting a bargain at that but his contract situation dictates the price because he's got only a year left."