But Kozluk's availability offers only a small ray of light on an extensive injury list at Bramall Lane.
Defender Shane Lowry, on loan from Aston Villa, is struggling with a thigh strain and is doubtful.
Manager Micky Adams could hand late fitness tests to midfielder Lee Williamson (back) and strikers Richard Cresswell (knee) and Sam Vokes (hamstring).
Otherwise Adams has no new injury or suspension problems from the weekend defeat at Crystal Palace as he chases his first win as Blades boss in his 11th game in charge.
However, long-term absentees Chris Morgan and fellow defenders Andy Taylor and Ryan France, goalkeeper Richard Wright, striker Darius Henderson and midfielder Nick Montgomery all remain sidelined.
Source: PA
Source: PA