The fair place to meet is Albuquerque, NM — the city closest to the midpoint of El Paso and Oklahoma City. From the farther side that’s about 10 hr 49 min of driving.
Recommended midpoint
Albuquerque, NM
From El Paso
4 hr 49 min
230 mi to Albuquerque
From Oklahoma City
10 hr 49 min
516 mi to Albuquerque
El Paso has the shorter trip; the split is off by about 6 hr. The alternatives below can even it out. El Paso and Oklahoma City are about 576 miles apart.
El Paso and Oklahoma City are about 576 miles apart by road. Split the difference and you arrive near Albuquerque, the city closest to the halfway point between them. That puts roughly 4 hr 49 min of driving on the El Paso side and 10 hr 49 min on the Oklahoma City side — the fairest single meeting point among the cities near the middle.
That's a half-day drive from each side, so Albuquerque suits an overnight or a weekend rather than a quick coffee — long enough to want a reason to stay, short enough to drive.
If Albuquerque doesn't have what you're after, Dallas and Austin are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between El Paso and Oklahoma City.
Albuquerque is the most populous city in the U.S. state of New Mexico. Founded in 1706 as La Villa de Alburquerque by Santa Fe de Nuevo México governor Francisco Cuervo y Valdés, and named in honor of Francisco Fernández de la Cueva, 10th Duke of Alburquerque… Read more →
El Paso is a city in and the county seat of El Paso County, Texas, United States. It is the 22nd-most populous city in the U.S., sixth-most populous city in Texas, and the most populous city in West Texas with a population of 678,815 at the 2020 census. Read more →
Oklahoma City, often shortened to OKC, is the capital and most populous city in the U.S. state of Oklahoma. It is the 21st-most populous U.S. city and 8th largest in the Southern United States, with a population of 681,054 at the 2020 census. Read more →
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.
Estimates use straight-line distance and typical road speeds; real drive times vary with route and traffic.