David Wilkerson emphasizes the significance of the transition from Elijah to Elisha, illustrating how God desires to do greater things in each generation. He highlights Elisha's request for a double portion of Elijah's spirit and the importance of being present to witness God's miraculous works. The sermon encourages believers to prepare their hearts for new experiences of God's Spirit and to expect greater miracles than those of the past. Wilkerson calls for a readiness to embrace the new things God is doing in our lives today.