Jennifer Brady, ranked 22nd, took home the first set 6-4.
Muchova responded by winning the second with slightly larger numbers, 6-3.
But it was in the end 25-year-old Brady, who after 6-4 in an even and tough third set, moved on.
- I can not feel my legs.
My legs are shaking and my heart is racing, Brady says afterwards.
Osaka is waiting
In the final, Naomi Osaka awaits, who beat Brady in the semifinals of the US Open 2020 with 7-6, 6-3, 6-3.
- I'm excited.
It's going to be a tough match.
She has said that the semifinal was her top two best matches, it was unfortunate for me, says Brady.
The final is played the night before Saturday Swedish time.