And the Italian is also sweating on the fitness of Chris Brunt, with the key midfielder currently rated as 50/50 to recover from a groin ailment in time for the Goodison Park fixture.
He said: "Morrison fell awkwardly on Saturday. Reidy has an Achilles tendon problem that needs looking after. Jonas and Miller won't play on Saturday, the others have a chance.
"Jonas' injury is improving slowly. It's a bit frustrating because we can't really put a date on it. We have to wait and see how he improves. We're missing him."
Miller could join in training at the end of this week but Di Matteo insists they must be patient with the Baggies striker.
"We're hopeful Ishmael is going to train with the team by the end of this week," he added.
"But he's been out for a while again so he's not going to be 100 per cent match fit. We need to build him up slowly."