The bite attack describes as valid targets "one willing creature, or a creature that is grappled by the vampire, incapacitated, or restrained." A creature who is not any of these things cannot be attacked with a bite. However, merely having a target who is willing is not sufficient to make the attack automatically successful, any more than having a target who is unable to move (such as when restrained or incapacitated). So why not?
What is the situation? Is it not combata conflict...
The vampire has slipped into a willing victim's bedchamber. The victim presents themselves, and the vampire initiates the draining bite. Either there is no one else present, or those who are present are unable to do anything but watch on in horror - they are held, or too far away, are scrying the scene but not physically present, etc. This is not combata conflict, and the vampire should be permitted an automatically successful bite.
When a player wants to do something, it's often appropriate to let the attempt succeed without a roll or a reference to the character's ability scores. For example, a character doesn't normally need to make a Dexterity check to walk across an empty room or a Charisma check to order a mug of ale. Only.Only call for a roll if there is a meaningful consequence for failure.
When deciding whether to use a roll, ask yourself two questions:
Is a task so easy and so free of conflict and stress that there should be no chance of failure?
Here, the vampire has all the time in the world, and no distractions that will prevent them from draining their victim. An attack roll is unnecessary, if this scene is even 'on screen'.
TheIn addition to biting the victim, the vampire is simultaneously defending itself against the PCs, perhaps even taking and regenerating damage. It is commanding its minions. It is alert for the presence of thoseanyone trying to sneak up on it. It is evaluating whether or not to use its Legendary Resistance in response to a failed saving throw.
ConsiderNarratively, you could consider the vampire as leaning in close, scenting the warm blood of its victim, the heat of their living flesh so freely given - and then someone drops a sunburst spell at the last second, interrupting their bite, just when they were so tantalizingly close.