The Wolves loanee was dismissed against Bury and missed the Brewers' crucial 2-0 win over Cheltenham.
Richard Walker was handed a start in Winnall's absence but was replaced in the second half by Calvin Zola.
Boss Paul Peschisolido must decide which one to play up front alongside Greg Pearson, who netted a first-half penalty at the weekend.
Defender Nathan Stanton has missed the last four games with a groin injury but he is nearing a return to first-team action.
Albion are three points and one place above the relegation zone but could leap up to 17th with a win against the Bantams.
Source: PA
Source: PA