Jiranek and Ridgewell picked up knocks in City's 2-0 defeat at home by Newcastle United in the Premier League on Tuesday evening.
Czech Republic centre-half Jiranek was forced off in the second half and left-back Ridgewell needed treatment to get through the full 90 minutes at St Andrew's.
McLeish admits it is too early to say if the defensive duo will miss the Wembley showdown with Arsenal at the end of the month.
"Jiranek had an injection in his toe at half-time and he has come off with a thigh problem and hopefully he's not pulled a muscle," said McLeish.
"With Ridgewell, I don't know how he's going to be over the next 48 hours.
"He looked as if he had a bit of cramp. We thought he'd pulled a muscle at first when he limped off.
"Are they doubtful for the final? I can't give you that answer now. There's no way we can diagnose something like that after a game."