The form striker in the squad and the Allsvenkan's leading scorer last season.
He is a natural goalscorer and primarily a penalty box predator. Goals have been Sweden's problem and Allback, despite obvious limitations outside the box, is one possible solution, although doubts surround his ability to succeed at international level.
He didn't make his international debut until after the qualifiers but his first international goal was the winner against Denmark in the Nordic Cup in La Manga in January.
Coach Soderberg, who made the striker his 22nd and final selection for the squad, said: "Allback has been hot this spring."