"I picked up the injury last weekend but the good news is it's improving every day," said Finnan.
"I joined up with the Irish squad in midweek hoping I'd be able to be involved against Sweden but it didn't settle down in time. I came back to Melwood where I've been having treatment over the last couple of days and it's definitely getting better now.
"I want to be involved on Saturday but we'll have to see how it goes in training first. If everything goes okay then I should be okay to be involved.
"I'm like any player in that I don't want to miss any games at the moment because we have so much to play for in two cup competitions and the Premiership."