Conviction of the Holy Spirit is necessary for salvation, but occurs to sinners alike, regardless of consequent faith or unbelief. It is not irresistible or unconditionally selective. (Jn. 16:7-11)
7Nevertheless I tell you the truth; It is expedient for you that I go away: for if I go not away, the Comforter will not come unto you; but if I depart, I will send him unto you.
8And when he is come, he will reprove the world of sin, and of righteousness, and of judgment:
9Of sin, because they believe not on me ;
10Of righteousness, because I go to my Father, and ye see me no more;
11Of judgment, because the prince of this world is judged.
12¶I have yet many things to say unto you, but ye cannot bear them now.