Sulfotransferase that utilizes 3'-phospho-5'-adenylyl sulfate (PAPS) as sulfonate donor to catalyze the sulfate conjugation of desulfo-glucosinolates (dsGSs), the final step in the biosynthesis of the glucosinolate core structure. Substrate preference is desulfo-benzyl glucosinolate > desulfo-6-methylthiohexyl glucosinolate. Increased specific activity with increasing chain length of desulfo-glucosinolate derived from methionine. Preferred substrate is desulfo-8-methylthiooctyl glucosinolate. 3'-phosphoadenylyl sulfate + an aliphatic (Z)-desulfo-glucosinolate = a (Z)-omega-(methylsulfanyl)-N-sulfo-alkylhydroximate S-glucoside + adenosine 3',5'-bisphosphate + H(+) Inhibited by phosphoadenosine 5'-phosphate (PAP). Optimum pH is 9.0. Highly expressed in roots, stems and mature leaves. Low expression in young leaves and flowers. Barely detected in siliques. Expression reaching a maximum in 2-week-old plants and a minimum in flowering plants. Induced by coronatine, but not by methyl jasmonate or high sulfate concentration. Belongs to the sulfotransferase 1 family.