His argument that this showed the police's sample kit may not be reliable was rejected by both the High Court and the Court of Appeal.
Tebbs applied to the Supreme Court to appeal against the decision once more, on the grounds that the process of taking a blood sample extends to the method of preserving it.
The medical practice of taking blood involved storing it in a vacuum-sealed container, instead of a screw-cap one, he said.
However, the Supreme Court said this argument "runs counter to the ordinary meaning of the .... definition of a blood test".
"It is not apparent that the context points strongly to a meaning that would cover the subsequent storage," its ruling said.
"Furthermore, legislative definitions and procedures have been amended since the time of the offending, decreasing the generality of the importance of the issue. The law that would be considered on appeal now has only lingering transitional application. The point accordingly lacks public importance.
"Overall we are satisfied a further appeal is not necessary in the interests of justice."
