Options are currently limited up front for the 'Boys in Green', with Will Grigg injured and Kyle Lafferty having withdrawn from the squad.
Boyce missed the previous game - a defeat against Austria in Vienna - with a knee injury, but he may now have recovered sufficiently to feature in Sarajevo.
"He trained this morning [Sunday] and came through it, and he'll be training a little bit tonight," O'Neill said.
"He's fine and we hope obviously he'll be available for selection."
O'Neill will be hoping that Boyce can be the answer to his side's goalscoring issues. Norther Ireland have not scored in their last five matches.
"There's no magic formula, we need someone to stick the ball in the net. We're challenged a little bit at the moment with the striker situation," he added.
"We've said all along that for a lot of our strikers this is a step up, they're still getting used to international football and stepping up from League One or the Championship so there's no great track record there."