The Spaniard missed the 3-2 win over Tottenham Hotspur last weekend with a calf injury, but is expected to be available for the clash at St Mary's on Saturday.
"He's coming along nicely. He's got one of those injuries where you're not sure how long it's going to take," Marsh told the club's official website.
"He's still getting treatment - with a bit of luck that will improve in the next couple of days and he'll be available for Saturday."
Liverpool currently sit sixth in the Premier League table.