Sciatica?

It does sound like a nerve is getting pinched from the pressure caused by your baby. But it doesn’t sound like sciatica. It usually runs down the back of your body, like from your lower back through your butt and down the back of your leg.

I had a bad sciatica flare up also around 37 weeks, it was more in the very lower right hand side of back (mostly pelvis/hip area) and radiates all down the back of bum into leg on affected side. Front/inner thigh doesn’t sound like the sciatic nerve but the pain does sound like it could be some form of nerve compression.
I’ve suffered with sciatica before but I still called triage to be sure. May be worth contacting your midwife for advice, just to make sure.
Once I had spoken to midwives and had it confirmed it was sciatica (basically just a trapped/compressed nerve) I found lots of regular stretching helped (I googled pregnancy safe stretches for sciatica for ideas) Despite movement and walking being painful I was getting and moving little and often as this is often the best way to releave the tension. Not sure if baby moves or the stretching helped but after a few days the pain did ease a bit. Hopefully you’ll feel better soon!