Spanish side Sporting Gijon are attempting to sign Tiote, who is out of contract in the summer.
There is also interest elsewhere in the 30-year-old, who is eyeing a big-money move to China.
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"Two or three clubs are really interested. We need to find the best solution for him and us."
Meanwhile, Newcastle are yet to make a breakthrough of their own in this month's transfer window.
Benitez said: "Obviously, we're working hard to try and find the right players."