Following the abolition of multi-seat at-large districts, Morris' home was placed in New Mexico's 1st congressional district, which covered the northeastern portion of the state and about three-fourths of Albuquerque. He was narrowly defeated by Republican businessman Manuel Lujan Jr.
He ran unsuccessfully for the Democratic nomination for the United States Senate in 1972, and then served as a management consultant and vice president for Bank Securities, Inc. As of 2013 he resided in Albuquerque, New Mexico.