Am trying to purify my protein in Tris-Hcl pH 8.0 with DTT. I am keeping the protein for overnight dialysis. I found that, around this pH 8.5 in phosphate buffer stability of DTT is about 1.4 hours only.
https://www.sigmaaldrich.com/content/dam/sigma-aldrich/docs/Sigma/Product_Information_Sheet/d9163pis.pdf