Weather Madness Winter Weather Forecast. Meanwhile, a second winter storm began forming Monday across the Southwest, where it was set to strengthen in Arizona and New Mexico and eventually bring snow. New Mexico could see 4 to 10 inches of snow across its eastern plains. The system will track through portions of Oklahoma and Texas on Tuesday and into the Midwest on Wednesday. Oklahoma could see 2 to 4 inches of snow, and the Texas Panhandle could get 6 to 8 inches, National Weather Service forecasters say.