Following Jesus' assurance that his son would live, the nobleman never doubted again. The text gives no indication of an emotional reaction or that he pressed Jesus for instructions; he simply started his return trip to Capernaum. He accepted Jesus' word that his son was healed, and apparently, this knowledge comforted him to the point that he felt little need to rush home. The bud of faith that led him to Christ came to full blossom as he left Jesus.
When the nobleman is met by his servants with the wonderful news that his son had been healed at the exact time Jesus had said he was, the miracle is seen to have had a double effect - the sick boy was healed of his deadly fever, and the father was convicted of his belief in Jesus. In order to have faith, we must believe that Jesus' words are true. Too often, we possess a vague faith, a blurred longing for His promises to be true. In reality, we must cling to what Jesus says like a man gripping a cliff face over a deep chasm.
The conviction of the father and the startling result of Jesus' miracle helped to begin the process of conversion of the nobleman's entire household. Convinced that Jesus was the Christ by personally witnessing this healing, they had the opportunity to grow in their belief to full faith if they continued to seek and believe Him (Colossians 1:21-23).