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Reports in England said Wigan want to wrap up the deal as fast as possible after several top flight clubs showed interest in the Egyptian hitman.
Big-spenders Manchester City have unveiled intention to land the Premier League top scorer.
Liverpool coach Rafa Benitez said he is keeping an eye on Zaki, who scored a remarkable brace at Anfield on Saturday.
Zamalek set a price tag of £six million for the 25-year-old striker earlier this year but as Zaki takes England by storm, his price might jump to the double.
"Zaki was absolutely scary, he put in a wonderful performance," Bruce was quoted as saying after the 3-2 defeat to Liverpool.
"When you produce a display like that, the last thing you want to happen is to finish on the losing side."