This article examines the question of whether and under what conditions teaching open-mindedness to students could have negative effects. While there has been much discussion in the literature about the potential downsides of being open-minded, the question of whether teaching this trait to young, untutored minds could result in more negative effects than positive has received little attention. Yet, given that a primary focus of the literature is providing models for use in educational contexts, exploring the potential risks of encouraging students to emulate such models is imperative. In this regard, the article presents three concerns. The first is that students may lack the full intellectual character to avoid the pitfalls of open-mindedness that have already been noted in the literature. The second concern is that students who exercise open-mindedness may incur social costs that cannot be compensated for by epistemic goods. The third concern is that educators, particularly at universities, often face certain non-ideal conditions that may make it difficult for them to effectively cultivate open-mindedness in students. I ultimately conclude that, in light of these concerns, we should approach teaching for open-mindedness with great caution. However, we should not avoid it altogether. Preliminary suggestions are offered on how instructors may attune their approach to teaching for open-mindedness to mitigate the identified concerns.