SQS Detect Job Expiration

I have an app that uses SQS to queue jobs. Ideally I want every job to be completed, but some are going to fail. Sometimes re-running them will work, and sometimes they will just keep failing until the retention period is reached. . I want to keep failing jobs in the queue as long as possible, to give them the maximum possible chance of success, so I don't want to set a maxReceiveCount. But I do want to detect when a job reaches the MessageRetentionPeriod limit, as I need to send an alert when a job fails completely. Currently I have the max retention at 14 days, but some jobs will still not be completed by then.

Is there a way to detect when a job is about to expire, and from there send it to a deadletter queue for additional processing?