valid question, Assume that My log shipping backup job configured to run for every 4 hours. Assume that 1:00 AM 5:00 AM like that, my log file was placed on...

No there was no backup while CHECKDB was running.

It is not frequent, If it comes again as you said I should look into the issue.

Thanks for the reply, So if the database is configured for log shipping or mirroring, after the log truncation we should take complete backup or diff backup other wise log...