Toure has been heavily linked with a move to Parkhead, and the midfielder has also spoken about the move recently, suggesting that he would be open to switching to Scotland.
However, Celtic have no intention of bringing him in this month, even though he is a free agent.
Celtic, instead, are said to want to sign targets in other areas of the pitch, as Rodgers has different priorities.
Rodgers does not feel that strengthening Celtic’s central midfielder is the most pressing concern for him.
And it seems that the Bhoys are working on other deals to improve the quality of their squad.
Celtic are in a title fight for the first time in a number of years, and will return from the winter break level on points with Rangers at the top of the Scottish Premiership table.
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