Clarke had already gone off before Sodje - who scored the Owls' first as they came from 2-0 down to draw 2-2 - suffered a groin injury.
They join midfielders Darren Potter and Tommy Miller on the sidelines, but Laws is upbeat over all four.
He told the club's official website: "I know Sodje and Clarke will be the main topic of conversation after the game and hopefully neither will be too serious.
"Only time will tell and I will know more next week.
"Darren not being involved was just precautionary, while Tommy wll play in a behind-closed-doors game on Tuesday."