Li saved a match point before fighting back to seal a 3-6 7-5 6-3 win over her Danish opponent and set up a clash with third seed Kim Clijsters in Saturday’s final.
The 28-year-old world No7 is the first Chinese player to reach a Major final and she hopes that her impressive run can inspire a new generation of talent in her home country.
She said: “I think possibly because I have got to the final, maybe young children will see that and think ‘maybe one day I can do the same or even better than her’.
“Perhaps also the authorities will start to look more at tennis. I know Chinese tennis is just starting but I hope that maybe after three or five years China, a bit like Russia, will have many players coming through.”
Clijsters booked her place in Sunday’s final after breezing past Russia’s Vera Zvonareva 6-3 6-3 in one hour and 13 minutes.
MORE: The latest football news
MORE: The latest tennis news
BIOGRAPHY: Unai Emery
BIOGRAPHY: Adam Lallana