The remaining portion of Segment H and I-1 consist of two lanes with intermittent four-lane passing sections.

Starting from its connection to Segment G at I-69/US 59 North, the first 8 miles of Segment H consists of four lanes, two in each direction, located within Montgomery and Harris counties. It traverses through Montgomery, Harris, Liberty, and Chambers counties. Segments H and I-1 include 37.5-miles of a controlled access toll facility from I-69/US 59 North (the Eastex Freeway) near New Caney, to US 90 near Dayton, to I-10 East (the East Freeway) near Mont Belvieu.

Construction is anticipated to last through spring 2022. Segments H, I-1, and the full build-out of Segment I-2 is currently under construction based on a Design Build Agreement executed with Grand Parkway Infrastructure (GPI) on June 30, 2017.