You are thinking of it backwards. Technically speaking, it's not the accrual of minor league service time that delays the arbitration clock. It's the lack of accrual of major league service time. Thus, tecwrg did answer the question (even if he didn't use your terminology). If he's on the minor league DL, he's not on the major league roster, and he's not accruing major league service time. Thus, you can promote him after he comes off, and you'll be fine.