"Paul concluded his letter with personal messages to different ones and again repeated the urgent request that Timothy come to him soon, if possible before the winter. He spoke of his loneliness, caused by the desertion of some of his friends and the necessary absence of others; and lest Timothy should hesitate, fearing that the church at Ephesus might need his labors, Paul stated that he had already dispatched Tychicus to fill the vacancy. AA 508.1"
"Do thy diligence to come shortly unto me:"
The EGW passage directly refers to Paul's request for Timothy to come to him, as mentioned in 2 Timothy 4:9. It expands upon the context and reasons behind the request, making the connection clear.