Legal charity Reprieve, which is supporting Mohammad Asghar, said it had demanded that an independent medical specialist be allowed access in order to carry out a full evaluation of his medical condition.
Reprieve investigator Kate Higham said: "Despite serious concerns about Asghar's health, the Pakistani authorities are refusing to grant access to an independent doctor to carry out a full medical and psychiatric evaluation."
Defence lawyer contended that since Asghar was suffering from mental disorder, his case should be treated on humanitarian grounds.
The court set up a medical board to verify the lawyer's contention. However, the board's report said Asghar was psychologically stable and did not suffer from any disorder.
The British government has raised Asghar's case with Pakistan on a number of occasions. British Prime Minister David Cameron has said "the Pakistani authorities can be in no doubt of the seriousness with which we take these developments."