Contributes to oxidative stress resistance by reducing cysteine-sulfinic acid formed under exposure to oxidants in a peroxiredoxin. May catalyze the reduction in a multi-step process by acting both as a specific phosphotransferase and a thioltransferase. [protein]-dithiol + ATP + S-hydroxy-S-oxy-L-cysteinyl-[peroxiredoxin] = [protein]-disulfide + ADP + phosphate + S-hydroxy-L-cysteinyl-[peroxiredoxin] Interacts with tpx1 in response to oxidative stress. Belongs to the sulfiredoxin family.