This text points to the fact that believing in Jesus is a feeding and drinking from all that Jesus is. It goes so far as to say that our soul-thirst is satisfied with Jesus, so that we don’t thirst anymore.
He is the end of our quest for satisfaction.
When we trust Jesus the way John intends for us to, the presence and promise of Jesus is so satisfying that we are not dominated by the alluring pleasures of sin (see Romans 6:14). This accounts for why such faith in Jesus nullifies the power of sin and enables obedience.
John 4:14 points in the same direction: “Whoever drinks of the water that I will give him will never be thirsty again. The water that I will give him will become in him a spring of water welling up to eternal life.” In accord with John 6:35, saving faith is spoken of here as a drinking of water that satisfies the deepest longings of the soul.
It’s the same in John 7:37–38: “Jesus stood up and cried out, ‘If anyone thirsts, let him come to me and drink. Whoever believes in me, as the Scripture has said, ‘Out of his heart will flow rivers of living water.’”
Through faith, Christ becomes in us an inexhaustible fountain of satisfying life that lasts forever and leads us to heaven. This he does by sending us his Spirit (John 7:38–39).