The Leeds boss gave a mixed injury update on two of his long-term absentees.
The former, however, is now back in training and Redfearn has confirmed he could yet play for Leeds this season.
For Italian midfielder Bianchi, the recovery process isn't as far down. Although there is still positive news there as he is out of his protective boot, according to Redfearn.
The Leeds boss said: "Aidy's back training now, Tommy's out of his boot, he's further down the scale of his rehab. Whether he'll be back for the end of the season, I don't know.
"Aidy White's perhaps got a chance. We've earmarked some game time with the Under-21s on Monday. That'll be a plus. It'll be nice to have him back before the end of the season because he's someone who can play wide.
"He's got a bit of pace and it's perhaps something we haven't got. So it'll be nice to get Aidy some game time."
Whether White can make an impact this term (or more pertinently next) remains to be seen, although Leeds could certainly do with a winger at present (where their full-backs have been playing of late).
Bianchi, meanwhile, is an equally interesting case. The 26-year-old was in superb form at Elland Road earlier this season but his performance levels dipped considerably thereafter. Where the midfielder will be after a prolonged injury absence will be intriguing to see.
Next up for Leeds is a weekend Championship clash against Charlton Athletic.