A.T. Robertson Commentary Acts 11:14

"who shall speak unto thee words, whereby thou shalt be saved, thou and all thy house." — Acts 11:14 (ASV)

Whereby thou shalt be saved, thou and all thy house (εν οις σωθηση συ κα πας ο οικος σου). Future passive indicative of σωζω, to save. Clearly Cornelius was unsaved in spite of his interest in Jewish worship. Clearly also the household of Cornelius would likewise be won to Christ by the words of Simon Peter. This is household conversion before the household baptism (10:48; 11:17).