"When the disciples returned from their errand, they were surprised to find their Master speaking with the woman. He had not taken the refreshing draught that He desired, and He did not stop to eat the food His disciples had brought. When the woman had gone, the disciples entreated Him to eat. They saw Him silent, absorbed, as in rapt meditation. His face was beaming with light, and they feared to interrupt His communion with heaven. But they knew that He was faint and weary, and thought it their duty to remind Him of His physical necessities. Jesus recognized their loving interest, and He said, “I have meat to eat that ye know not of.” DA 190.4"
"In the mean while his disciples prayed him, saying, Master, eat."
The EGW passage directly recounts the events described in John 4:31, providing additional context and interpretation. It's a clear retelling of the biblical narrative.
"The disciples wondered who could have brought Him food; but He explained, “My meat is to do the will of Him that sent Me, and to accomplish His work.” John 4:34 , R. V. As His words to the woman had aroused her conscience, Jesus rejoiced. He saw her drinking of the water of life, and His own hunger and thirst were satisfied. The accomplishment of the mission which He had left heaven to perform strengthened the Saviour for His labor, and lifted Him above the necessities of humanity. To minister to a soul hungering and thirsting for the truth was more grateful to Him than eating or drinking. It was a comfort, a refreshment, to Him. Benevolence was the life of His soul. DA 190.5"
"Jesus saith unto them, My meat is to do the will of him that sent me, and to finish his work."
Ellen White directly references John 4:34 in this passage.