u/Civil-Stop3387

Not sure if this is the right or best sub to post on, but I currently have two in person interviews. One of them is this Friday for the job that I am primary focused on getting into. The recruiter for the secondary job emailed me asking if I have availability for this Friday at the exact same time as the interview that I have for the primary job. I messaged them that I am not available this week but that I can go in any time next week.

My question is should I let the recruiter for the secondary job know that I have an interview lined up so that it doesn't look bad, or should I schedule without letting the recruiter know for next week and just cancel it if I get an offer on Friday?