Va. Code Ann. § 65.2-511

When an employee receives or is entitled to compensation under this title for an injury covered by § 65.2-503 and dies from a cause other than the injury for which he was entitled to compensation, payment of the unpaid balance of compensation shall be made to his statutory dependents under this chapter, in lieu of the compensation the employee would have been entitled to had he lived. However, if the death is due to a cause that is compensable under this title and the dependents of such employee are awarded compensation therefor, all right to unpaid compensation provided by this section shall terminate.