From the National Weather Service, Norman Forecast Office:
A few showers and storms may develop ahead of a cold front that will sweep across Oklahoma and north Texas by this evening. One or two of the storms may become strong with gusty winds and small hail.
A front will stall across southern Oklahoma by late Tuesday afternoon. A dryline will extend from the front down into western north Texas. Between these two features, strong instability may lead to a couple of isolated severe thunderstorms. The main hazard with any storms that develop will be very large hail up to baseball size. Damaging winds of 60 to 70 mph will also be possible. Storms should weaken after sunset, but strong storms may persist overnight across much of central and southern Oklahoma.
WEDNESDAY AFTERNOON AND NIGHT
The potential for severe storms will increase on Wednesday. While storms will still remain fairly isolated, conditions will become even more favorable for significant severe storms. Tuesday’s front will continue to lift north to near the interstate 40 corridor by mid to late afternoon. A dryline will extend across west central Oklahoma and western north Texas. Sufficient heating should allow for a few isolated severe storms to develop. The main hazard will continue to be very large hail to baseball size, and damaging wind gusts to 70 mph. As storms move eastward into central portions of Oklahoma by evening, conditions will become increasingly favorable for a tornado or two. Storm severity will decrease after sunset, but scattered strong to possibly severe storms may linger into the first part of the night.