Bayern Munich striker Olic is doubtful for the game after becoming the latest name on a list of injured first-choice players which already included forwards Eduardo da Silva and Mladen Petric and midfielder Luka Modric.
Tottenham Hotspur midfielder Niko Kranjcar suffered an ankle injury during Thursday's 3-2 friendly win over Qatar and is doubtful for Wednesday's trip to Kazakhstan.
Croatia can clinch second spot in European Group Six if they beat Kazakhstan and England, who have already qualified for next year's finals in South Africa, avoid defeat in Ukraine on Saturday.
The second-placed team will advance to a two-legged playoff against another European runner-up for a place in the finals.
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