The Sky Blues were already set to be without suspended Nick Carle and Hagi Gligor, who is with the Australian Under 22 team at the Asian championships in Oman, before Farina revealed on Thursday that Garcia will also miss Sydney's trip across town due to a calf injury.
Farina has not picked the same starting line-up in seven straight games with injuries and suspension having been a key factor in Sydney's inconsistent season so far.
"Last week against Adelaide, he (Garcia) finished the second half but halfway through he was complaining about pins and needles just behind his calf and it looks as though that might have been a little bit of a strain," Farina said.
"He managed to finish the game but there's quite a lot of bruising there now, so it is a bit of a strain and there's no way he'd be right for this weekend."
"We have options in there (defensive midfield) but it's still not nice when you lose three or four players from the previous week - one through suspension, one through national team duty - but again, I think we've got the depth that we can cover that," Farina said.
Despite Sydney's holes in midfield this week, Farina ruled out picking Serbian midfielder Milos Dimitrijevic.
"He's in pretty good nick, when you look at him," he said.
"It was similar with Ranko (Despotovic), when he came in, and we saw how quickly he adapted and was physically up to it.
"So I'm not expecting it'll be too long before we see him (Dimitrijevic - on the pitch)."
