Would it harm my baby?

My baby was 6 months when he got his first round of the flu shot. Doctor told us to come back after a month to get the second dose. However, the doc didn’t have the shot in stock when he was supposed to get it. It’s now been two months since his shot and still needs the second round. Would it still be safe to go without the second round ? Is it safe to get it after 8 weeks?