The song Just As I Am is one of our most commonly used invitation songs. The idea in the song is that we cannot make ourselves right with God on our own; apart from Jesus’ blood we have no hope. That is precisely the New Testament picture (Eph. 2:8-9; Tit. 3:5; etc.).
I fear, however, that some folks have an erroneous idea about Jesus saving us “just as we are.” They seem to think that He saves us without any change in our conduct. That is opposite to the New Testament picture.
Jesus’ charge to the apostles was “that repentance for forgiveness of sins should be proclaimed in His name to all the nations” (Lk. 24:47). Forgiveness is extended to those willing to abandon sinful conduct, not to those who insist on continuing in it.
Paul wrote to the Corinthian Christians, “Do not be deceived; neither fornicators, nor idolaters, nor adulterers, nor effeminate, nor homosexuals, nor thieves, nor the covetous, nor drunkards, nor revilers, nor swindlers, will inherit the kingdom of God. And such were some of you…” (1 Cor. 6:9-10). He did not say such are some of you, but such were. They changed their conduct in connection with being washed, sanctified, and justified (v. 11).
“Just as I am,” if referring to our own helplessness, is a comforting sentiment. But to suggest it means salvation without repentance is to hold out false hope.