Zaine Francis-Angol is a doubt for Stuart McCall’s side after the winger limped off with a tight hamstring during Saturday's friendly against Fulham.
Striker Craig Moore is out as he battles back from a damaged cruciate ligament but Simon Ramsden returns from knee surgery.
Midfielder Josh Law is looking to make his debut and summer signing Dan Twardzik is expected to start in goal.
Motherwell, who last year crashed out at the first hurdle, head into the clash on the back of the 2-0 friendly defeat to Fulham.
Stjarnan crushed Bangor City 8-0 over two legs to secure the second round clash and are currently second in the Icelandic lead.