The 34-year-old, who has taken 122 wickets in 153 one-dayers, was suspended from bowling by the International Cricket Council (ICC) last month after failing a biomechanic check.
Hafeez will now go through an informal examination this week at the ICC's bowling centre in Chennai.
If he clears that hurdle Pakistan, who must name their World Cup squad on Jan. 7, will send him for an official ICC biomechanic test.
"The reports about Hafeez are positive because he has worked hard on improving his action with a team of experts in Lahore," national bowling coach Mohammad Akram told reporters.
Match officials reported Hafeez's action after the first test against New Zealand in Abu Dhabi.
Pakistan have already lost seasoned off-spinner Saeed Ajmal for the World Cup in Australia and New Zealand after he withdraw because of uncertainty over his action.
(Editing by Tony Jimenez)
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