Answer:
A lot of information is missing, but the answer is the same whether we are told about a specific case or not. If the US Supreme Court decided on a similar case that is under trial in Nebraska, the Nebraska court must follow the decision and guidelines of the US Supreme Court.
The Supreme Court is the highest court in the US, and its decisions must be followed by all lower courts. If a lower court doesn't follow a Supreme Court decision on a similar case, then an appellate court would reverse the decision.
The Supreme Court does not create laws, but it decides on how they should be enforced.