The Danes' coach Morten Olsen has conceded it is a dream to think the striker will be fit to play their opener against Holland on Monday.
Missing man: Denmark are set to leave out Arsenal striker Nicklas Bendtner because of injury concerns
Bothered by a nagging groin injury, Arsenal striker Bendtner has not played since May.
Bendtner's place up front is likely to be taken by Jon Dahl Tomasson, who has not scored for Denmark in more than two years.
Slovakia defender Martin Skrtel is expected to be fit for their opening fixture against New Zealand after returning to training.
Knees up: Liverpool defender Martin Skrtel showed encouraging signs on his return to training for Slovakia
The Liverpool centre-back injured an ankle in last week's friendly against Costa Rica.
Switzerland coach Ottmar Hitzfeld is adamant Alexander Frei will play in the World Cup despite ankle problems.
Frei is scheduled to do ball work on Sunday.
Switzerland open against Spain on Wednesday.
Oscar Cardozo is a fitness worry for Paraguay with four days to go before their opener against Italy.
Cardozo was included in Paraguay's squad after scoring 36 goals for Benfica last season. But an ankle injury is troubling him.
Chile striker Esteban Paredes is being unselfish, hoping he will miss out on a start - as he wants star striker Humberto Suazo to recover from a thigh injury.
Paredes said: 'I hope Humberto can play.'
Chile face Honduras on Tuesday.
Injured Holland winger Arjen Robben will join the squad on Saturday.
Coach Bert van Marwijk says Robben's recovery from a hamstring injury is 'going well'.
Heading back: Arjen Robben will link up with the Dutch squad on Saturday
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