The original fear was that Kozluk had suffered a hairline fracture to the cheekbone but a meeting with the radiotherapist has revealed that the 31 year-old doesn't have a fracture.
Kozluk will still miss this Saturday's FA Cup tie with West Ham but will be available for selection "not too long after" the weekend.
Reds boss Simon Davey told www.barnsleyfc.co.uk:
"We will be without Rob for the trip to West Ham.
"We have had some good news regarding Rob after he went to see a radiologist and it does not look as tough there is a fracture after all. He will not be available for the weekend but he should not be too long after that".
Kozluk joined the Reds from Sheffield United in July last year and has clocked up 51 appearances for the club.