"Gerry's thinking our offer over at the moment," Kinnear told the Shields Gazette.
"I'll be going to London at the weekend, when we have no game, and I hope to get something sorted out by then."
Meanwhile, Kinnear has escaped punishment from the Football Association over his appearance at the mouth of the Goodison Park tunnel on Sunday.
Kinnear, serving the second match of a two-game touchline ban, had left the directors' box and gone to the tunnel to order a substitution as his mobile phone was not working in the stadium.
An FA spokesman said: "No action will be taken, but we will be writing to Joe to remind him of the rules of touchline bans."




