Last month, Maj. Nidal Hasan was given a death sentence for killing 13 people and injuring 30 more in his attack on the Fort Hood military post in Texas on Nov. 5, 2009. Hasan had ties to radical Islamic groups.
Sens. Susan Collins (R-Maine), Ted Cruz (R-Texas) and Jerry Moran (R-Kan.) are co-sponsoring the bill, S. 1500.
Reps. John Carter (R-Texas) and Roger Williams (R-Texas) introduced a companion measure in the House.