Cost Center Approver assigned by transaction date

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We have found that when we update the Cost Center Approver for a Department that the transactions still assign based on the transaction date rather than the submission date. For example, if Approver B (new) is assigned effective 8/1/21, but the transaction occurs 7/25/21, then the transactions routes to Approver A (previous). Is there a setting or configuration to allow the transactions to only assign to the current Cost Center Manager? When people change jobs within our University, we do not want transactions routing to the person who was formerly in the position.

Thanks,
Jon