The group knew that they had to pick up the pace, and so, they did just that.
In the following couple of days, they covered a lot more ground than they initially thought they would cover. They had managed to pass through more than half of the remaining distance to the border in just 5 days, even though they believed it would take 6 to 7 days originally.
It wasn't as if there were no issues with that, however.
They had come across more and more patrols who were seemingly looking out for them. They knew that Basen and his group would have notified the empire of their presence right away, after all, why wouldn't they do so?
The empire hated anyone who wasn't human, they believed them to be less worthy of existing in the same world as them, they would definitely jump at the opportunity to take down a group of vampires who had entered their borders without being noticed.
The monsters proved to be another problem for them.