Blues are also without Morrison's central defensive partner Ryan Shotton at Hillsborough.
All three players featured in September's reverse fixture at St Andrew's, with Maghoma providing the assist for Lukas Jutkiewicz's late winner against the Owls.
Jacques Maghoma of Birmingham City
But Zola told the Birmingham Mail on Wednesday: “There are no new injuries, we had the same injuries that we had before so Michael Morrison just had an operation yesterday.
“The operation went well, he will need some time to recover.
“I think Ryan Shotton is not going to be available.
“Jacques Maghoma came back with a little problem on his knee. I don’t think he is going to be out long, I think it is going to be one week-ten days.”
Ex-Charlton defender Michael Morrison (right) celebrates a win against the Owls
Neither Morrison nor Maghoma are fondly remembered by the Hillsborough faithful, with the former part of a Wednesday side which finished 15th in League One six years ago and going on to help Charlton to the title at the Owls' expense the following campaign.
Maghoma struggled for consistency during his two seasons in Sheffield 6, but has gone on to become an important player for Birmingham following his release in 2015.
Meanwhile, Owls head coach Carlos Carvalhal has told BBC Radio Sheffield that key duo Tom Lees and Gary Hooper -who has scored three goals in his last two games against the Blues - are both doubtful for Zola's side's visit.
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