The Manchester United star is battling to return to fitness after experiencing a reaction in the knee that was operated on in 2007.
Park missed last Saturday's 3-1 win over Turkmenistan but coach Huh Jung-moo could select the player to face North Korea.
"If Park's condition improves then I will consider him but we are not at that point yet," Huh told reporters.
"We will look at him for another day or two and if he is not fit then we won't select him."