LSU's student newspaper, The Daily Reveille, first reported Friday that Robinson -- who is listed as a starting cornerback -- did not travel with the No. 13 Tigers to Houston for the game. The Baton Rouge Advocate later reported that Robinson is suspended for the game and that Dupre sprained his ankle in practice and also would not play.
LSU, though, says Robinson was not suspended and that Dupre's injury was to the leg, not ankle.
Tigers coach Les Miles was scheduled to meet with reporters at NRG Stadium on Friday afternoon, but it was canceled.
Miles has played coy throughout the preseason when asked about Robinson and safety Jalen Mills, who was suspended throughout the summer following his arrest for allegedly knocking a woman unconscious in May.
Robinson has frequently practiced with the reserves, but Miles did not reveal that the sophomore had any disciplinary issues.
Asked by a caller on his Wednesday radio show whether Robinson would start against Wisconsin, Miles replied, "Rashard Robinson practiced today. Everything's good."
Junior Jalen Collins started twice last season and could be in line to start against the Badgers.
It remains unclear whether Mills will face any punishment following his arrest. Running back Jeremy Hill sat out the first five quarters of the 2013 season following an arrest on similar charges.
Mills has been charged with misdemeanor battery, and his attorney has said that he will plead not guilty if the case goes to trial. Mills was reinstated to the team by Miles on the first day of preseason practice.
"He is healthy and preparing to play," Miles said of Mills earlier this week. "Any of those thoughts would be something that I carry with me and ... we are preparing him to play early and late."
Dupre missed two of the Tigers' three preseason scrimmages with an undisclosed injury.