In the event of a dispute involving any employee's physical ability to perform his job or his fitness to return to work at the University and the employee is not satisfied with the determination of the physician or physicians designated by the Employer, he may submit a report from a physician of his own choosing and at his own expense. If the dispute still exists, at the request of the Union, the Employer through its designated physician and the employee's physician shall agree upon a third physician to submit a report to the Employer and the employee, and the decision of such third physician will be binding on both parties. The expense of the third physician shall be shared equally by the Employer and the employee.