In my view, curiosity is an important trait of mind that builds in a purpose to ask and forge ahead to knowledge, understanding, and insights it actually fits in with critical thinking; because it allows to broaden, deepen, sharpen our minds, making us better yet, more humane. It leads to questions that probe information and experience; questions that call in for reasons and evidence; questions that lead one to examine interpretations and conclusions, questions that help one to discover their assumptions, to test their ideas and to challenge them as whole. Hope I answered your question.
In ancient times, curiosity was equated with a desire for knowledge. Our contemporary understanding of curiosity is linked with natural inquisitiveness; a sense of wonder; new experiences; experimenting; discerning a gap in knowledge; careful attention to people and things in the external landscape surrounding us. For to be curious means to explore and perhaps venture into the unknown. And so I guess being curious allows us to become critical thinkers. We question the beliefs, the assumptions, ask questions when we are curious about something. Doesn’t that help critical thinking?