A hamstring injury has forced the midfielder out of United's last two matches against Marseille and Wigan - he didn't feature against Crawley Town either, but neither did a host of first team stars who were all rested.
Sir Alex will see how Giggs fares in training on Sunday but remains optimistic of having him available for the Chelsea clash.
"Hopefully Ryan will train on Sunday. He's coming on. We might have a couple back for next week as well," the boss MUTV.
"It's always a big game at Chelsea. We used to have a great record down there, but our record over the last seven years or so has been poor.
"We have to do something about that and that’s what Tuesday is about."