Some banks do offer free checkbook covers, but not all of them. An added problem here is that most of the time, these free checkbook covers are not very good quality, and they will start to show signs of wear in a very short amount of time.
These checkbooks often bear the bank’s monogram, which does not look aesthetically pleasing, and lastly, there are not many options to choose from. Therefore, at the end of the day, it is better if you buy a checkbook cover that you actually like and that will serve you for a long time.