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. Preferred substrate are the long-chain desulfo-glucosinolates, 7-methylthioheptyl and 8-methylthiooctyl, derived from methionine. Substrate preference is desulfo-benzyl glucosinolate > desulfo-4-methylthiobutyl glucosinolate > desulfo-6-methylthiohexyl glucosinolate > desulfo-3-methylthiopropyl glucosinolate > desulfo-indol-3-yl methyl glucosinolate > desulfo-singrin > desulfo-3-butenyl 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. Expressed in roots, leaves and stems. Barely detected in siliques and flowers. Low expression in young plants (up to 4 weeks), then slight increase in older plants. Not induced by coronatine, methyl jasmonate or high sulfate concentration. In cv. C24, the substrate preference is restricted to a small number of desulfo-gulcosinolates: desulfo-6-methylthiohexyl glucosinolate > desulfo-benzyl glucosinolate > desulfo-2-phenylethyl glucosinolate (PubMed:16367753). Strong differences in the kinetic behavior between the same protein from different cultivars. Belongs to the sulfotransferase 1 family.