Jeremy Dean Thacker had already been charged with first-degree murder and nine related felonies.
The Tulsa World reports that the Tulsa County District Attorney's Office added a misdemeanor charge on Wednesday of committing malicious intimidation or harassment.
The new charge is based on testimony from an inmate who said Thacker told him he was looking to buy methamphetamine when he saw a man and a woman sleeping under an overpass and decided to run them over with his truck.
The crash killed Shawn Birdo and injured two other people on Sept. 4.
Thacker is scheduled for trial court arraignment on Monday.
Information from: Tulsa World, http://www.tulsaworld.com
Copyright 2018 The Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.