Next Level Urgent Care Hospitals/Clinics Next Level Urgent Care Visit Website 1420 Katy Fort Bend Katy, TX 77493 (281) 201-0657 Hours: 9 a.m.- 9 p.m. About Map About Next Level Urgent Care is a cost effective alternative to an emergency room. We are open 7 days a week until 9 pmWe see all nonlife threatening conditions. Directions Across from Rhodes Stadium and next to Wendy's Hamburgers What's Nearby? Distance: 5 10 15 20 25 50 mi.