Tottenham manager Harry Redknapp had earmarked Klose as one of his top targets for a planned reshuffle up front.
Redknapp wants to freshen up his strike force, after being disappointed with their goals return over the past season, and sees installing Klose's aerial prowess and consistent finishing as one of his transfer priorities.
But he faces competition from Everton counterpart David Moyes, who is just as eager to find quality reinforcements for his frontline and has dramatically made it a four-way battle for Klose.
Moyes knows transfer funds are strictly limited, following a meeting with chairman Bill Kenwright. But, with Klose's current contract about to run out, he only needs to come up with an acceptable wage package to have a chance of landing one of German football's most prolific scorers.