"He won't play at Chelsea. It's impossible," Al Khelaifi told RMC radio.
"We are waiting for the test results but I think he will be out for at least four weeks."
Ibrahimovic was substituted after 69 minutes of PSG's 3-1 first-leg win over Chelsea on Wednesday and limped off holding his right thigh.
Ibrahimovic could also miss a semi-final tie if PSG successfully defend their advantage in London next week.
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