Eligibility Profile -- Specific Assignment

Summary:

If I use 'specific assignment' on an Eligibility Profile that only allocates a journey based on a certain job name in our oracle system would an employee who has held the certain job in the past on their assignment record but is currently in a different job get assigned that journey?

This Journey allocates upon the 'Move to HR' action and in this case the employee is a internal candidate and is processed through ORC and into Core as a Assignment Change action. The job the employee was most recently hired on would not be eligible to meet the criteria to allocate the Journey.