Keane has been told he can leave White Hart Lane in the January transfer window but Spurs want to sell the striker, who went out on loan to Celtic this time last year.
The Hammers are currently in talks with Tottenham about the player but, Birmingham are still in the chase.
Leon Best's hat-trick against the Hammers seems to have given Alan Pardew new priorities in the transfer window.
He was after Keane, but suddenly the need for a new striker seems to have been put on the back boiler.