Problem with database version after WordPress upgrade

I’m having issues with inaccessible admin after each WordPress upgrade. What happens after inserting the admin credentials is the page reloads with the following url:

https://www.website.com/wp-admin/upgrade.php?_wphttp_referrer=%2Fwp-admin%2F

It seems that the issue is caused by a difference in the database version number. I’m updating wp-include/version.php to force a match to the database’s version.

It can be fixed only if I change the number on both places (phpMyAdmin and versions.php file) to be the lower number.

This happens after every WordPress upgrade for the past around 3 upgrades as far as I remember. I haven’t changed anything before that started happening.

Any helps is greatly appreciated!