HSG + IUI in same cycle.

Currently in the TWW for a basic cycle. When CD 1 happens I need to call to schedule an HSG for CD5-11. I’m wanting to start IUI that same cycle. (I’ve discussed IUI with my doctor but told her i need more time to think about it) Has anyone done an HSG and IUI in the same cycle? Is that allowed?

I plan to call tomorrow but looking for some advice here and maybe if anyone else has done this as well.

I’d be doing letrozole (concerns with my lining being too thin) with IUI. I plan on calling to hopefully get this process started so we can order meds for the cycle etc. if it’s allowed.