Dunn was elected President of the Oklahoma Territory Bar Association in 1903, (serving through 1903-4). He was also unanimously elected chairman of the Oklahoma Territory Democratic Committee. In this new position, he managed the party's strategy to win the next election for the Territory's single representative to the U. S. Congress. Although the Democrats did not win that election, it did not cost Dunn any credibility with party officials. He was made the manager for the campaign to elect delegates to the 1906 Oklahoma Constitutional Convention. The resulting delegation was composed of 99 Democrats,1 Independent and 12 Republicans. His skill and ability as a leader and organizer were confirmed. Williams credits Judge Dunn with unifying the remaining Populists with the regular Democrats in and after the 1906 election. In 1909, the newly constituted Oklahoma Supreme Court adopted a rotation plan for choosing a chief justice. It was agreed that Justice Matthew John Kane and Judge Dunn were equally eligible, so the court decided that Kane should serve the first year of the 1909-11 term, and Dunn should serve the second. On the second Monday of January 1911, John B. Turner was elected as Chief Justice, replacing Dunn. Dunn resigned his seat, effective September 1, 1913 and announced that he planned to move to Oakland, California, where he and Judge John Yule, an uncle of Mrs. Dunn, had formed a partnership to practice law. Their firm was known as Dunn, White and Aiken from March 1, 1914 until it was dissolved by the surviving partners on December 31, 1938. Dunn died at Livermore Sanitarium in Oakland on July 28, 1926. Biographer Robert Williams did not identify the cause of death. He did report that the judge was survived by his widow, Saidee (née Matson), and three children: Claud, who was married but had no children, Constance (Mrs. J. M. Rutherford), who had two young sons, and Dorothea (Mrs. D. G. White), who had no children. In 1935, The Administration Building of the Northwestern State Teachers' College at Alva, Oklahoma burned down. After it was replaced, the new building was named by the Oklahoma Legislature as "Jesse Dunn Hall."