Is it appropriate to contact my recruiter about recommending a classmate?

I’m still learning the ropes of business etiquette, so I hope you can help me out. I recently accepted an internship for next summer and I have a very talented classmate who is also looking for an internship. Would it be acceptable for me to reach out to my recruiter to see if I can connect her with my friend? I’m concerned that my input might not carry much weight as a future intern, and I don’t want to inconvenience my recruiter. Any advice would be greatly appreciated!