Canada international Hume returned to action in July for the first time since fracturing his skull against South Yorkshire rivals Sheffield United last November and is desperate to be ready for the Hillsborough curtain-raiser.
Davey said: "Iain has been involved in another game with the youngsters and got another 90 minutes under his belt.
"He scored a goal as well so he's there or thereabouts. He just needs to continue building up his match fitness.
"There is no problem with him psychologically whatsoever."