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Westwood was confirmed as Europe's first number one since Nick Faldo in 1994 on Sunday after Martin Kaymer failed to produce the top-two finish he needed in the Andalucia Masters to claim top spot himself.
But Woods, Kaymer and Phil Mickelson could all make Westwood's reign at the top a matter of days rather than weeks at this week's WGC-HSBC Champions in Shanghai.
But Westwood said: "I would not write Tiger off as quickly as that. He has gone away and come back before."
He added: "He will be there or thereabouts. If anyone can put a run together it's so close they could take the number one spot.
"But it's taken me a long time to reach world number one, I'm not going to worry about who I am going to lose it to.