The latest reports in Italy claim the Rossoneri hope the veteran striker will be available for the second leg in Milan on 18 March.
Zlatan confirmed at a separate press conference ahead of a music festival: “I was unlucky, I had a small injury”, as coach Pioli previewed Wednesday's Serie A home clash with Udinese on Wednesday and spoke of the talisman being ruled out.
“Zlatan is our champion,” Pioli said. “He is the number one in everything and is one [real] weapon for us but the team has shown to be up to it, even in his absence.