I suppose the best commentary on this is the account of Jesus with the woman of Samaria in John 4. The well of salvation was full enough for a woman with a past, and for her town as well. And through the many who have hard of the Lord through that story.
When a Samaritan woman came to draw water, Jesus said to her, “Will you give me a drink?” 8 (His disciples had gone into the town to buy food.) The Samaritan woman said to him, “You are a Jew and I am a Samaritan woman. How can you ask me for a drink?” (For Jews do not associate with Samaritans). Jesus answered her, “If you knew the gift of God and who it is that asks you for a drink, you would have asked him and he would have given you living water.”
“Sir,” the woman said, “you have nothing to draw with and the well is deep. Where can you get this living water? 12 Are you greater than our father Jacob, who gave us the well and drank from it himself, as did also his sons and his flocks and herds?”
Jesus answered, “Everyone who drinks this water will be thirsty again, 14 but whoever drinks the water I give him will never thirst. Indeed, the water I give him will become in him a spring of water welling up to eternal life.”
The woman said to him, “Sir, give me this water so that I won’t get thirsty and have to keep coming here to draw water.”
Many of the Samaritans from that town believed in him because of the woman’s testimony, “He told me everything I ever did.” So when the Samaritans came to him, they urged him to stay with them, and he stayed two days. And because of his words many more became believers.
They said to the woman, “We no longer believe just because of what you said; now we have heard for ourselves, and we know that this man really is the Savior of the world.”