Smith was suffering with an ankle knock after a tough game against the Smogs when they tried to amputate his legs, but he is in contention against the Rams at St James' Park (kick-off 5.20pm).
Hughton: "It would have been too big a risk to play him (against Wednesday) but he'll be available on Monday."
Joey Barton (foot) is edging closer to fitness but will not be involved, while Hughton has no fresh injury problems to contend with.
Andy Carroll replaced Shola Ameobi for the last 20 minutes of the Owls clash and will be hoping for a more prominent role, although Ameobi has scored in each of his last four games.