Hi lifeincorona,
It depends what you’re comfortable with. Personally I would advise overriding and customizing the month/single-event.php template (see our Themer’s Guide for an overview of this process – link over on the right under Useful Resources) and simply removing the tooltip markup, which is identifiable as the section beginning:
<div id="tribe-events-tooltip-<?php echo $event_id; ?>" class="tribe-events-tooltip">
Not everyone is familiar or comfortable with templates containing HTML and PHP though which is why we sometimes propose alternative solutions. Does that help/clarify things at all?