The Supreme Court on Tuesday rejected a bid by officials in Florida to sue California and Washington over claims that those states have allowed undocumented immigrants to receive commercial trucking licenses.

Officials in the two states deny the allegation.

The court does not typically give a vote breakdown when it rejects a case nor explain its reasoning, but two of the court’s conservative justices, Clarence Thomas and Samuel A. Alito Jr., noted that they would have allowed Florida to bring the case.

The case was prompted by a high-profile fatal crash in Florida in August involving a commercial truck driven by an Indian immigrant.

Three people in a minivan died after an 18-wheeler collided with the vehicle on Florida’s turnpike. The state’s highway safety department accused the truck’s driver, Harjinder Singh, of causing the crash by making an illegal U-turn.

The traffic crash ignited a political fire when the Trump administration highlighted the episode, alleging that Mr. Singh was in the country illegally and had been improperly issued a commercial driver’s license by California.

Mr. Singh has pleaded not guilty to charges of vehicular homicide and manslaughter. He remains in the St. Lucie County Jail, and a trial date has not been set, said his lawyer Natalie Knight-Tai.