The Swede, who scored both goals in the 2-2 draw in the first leg in London last week, pulled up in the pre-match warm-up to Saturday’s 4-1 win over Athletic Bilbao which put Barcelona top of La Liga.
Ibrahimovic is also a doubt for Saturday’s ‘El Clasico’ against Real Madrid.
“He is not ruled out of Tuesday’s match by any means, but it will be difficult for him to play,” said Barcelona coach Pep Guardiola. “He already had some problems after the first game in London.”
Barcelona are already without Gerard Pique and Carles Puyol through suspension for Tuesday’s clash.
That has already forced Guardiola to reshuffle his back-line and now he needs to change his first-choice striker with Thierry Henry and Bojan Krkic, who scored twice on Saturday, candidates to deputise.