The fair place to meet is Dallas-Fort Worth, TX — the city closest to the midpoint of Memphis and Oklahoma City. From the farther side that’s about 8 hr 48 min of driving.
Recommended midpoint
Dallas-Fort Worth, TX
From Memphis
8 hr 48 min
420 mi to Dallas
From Oklahoma City
4 hr
190 mi to Dallas
Oklahoma City has the shorter trip; the split is off by about 4 hr 48 min. The alternatives below can even it out. Memphis and Oklahoma City are about 422 miles apart.
Memphis and Oklahoma City are about 422 miles apart by road. Split the difference and you arrive near Dallas, the city closest to the halfway point between them. That puts roughly 8 hr 48 min of driving on the Memphis side and 4 hr 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 Dallas suits an overnight or a weekend rather than a quick coffee — long enough to want a reason to stay, short enough to drive.
If Dallas doesn't have what you're after, Kansas City and Houston are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Memphis and Oklahoma City.
Dallas is a city in the U.S. state of Texas. Located in the state's northern region, it is the ninth-most populous city in the United States and third-most populous city in Texas, with a population of 1.3 million at the 2020 census. Read more →
Memphis is a city in Shelby County, Tennessee, United States, and its county seat. 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.