The 20-year-old dropped just two games as she sealed her 6-2 6-0 win in a mere 74 minutes.
Her victory over the Swiss player, coupled with Ashleigh Barty's shock retirement announcement, will see Swiatek jump to the very top of the world rankings.
Swiatek was elevated to world number two last week after winning the BNP Paribas Open title at Indian Wells.
The Pole will now make history by becoming the first person from her country to reach the pinnacle of the WTA ranking, and also becoming the youngest player to do so since Caroline Wozniacki in 2010.
As things stand, Swiatek is in the midst of a career-best 12-match winning streak and has already accumulated a tour-high 21 wins this season.
Poland's number one initially reacted to the news on social media, saying: "I'm pretty sure that tomorrow the sun will shine exactly the same way as today but for now…it feels surreal. No.1!!"
The rankings will be updated on April 4 meaning the Pole will officially top the list after the Miami Open.
Swiatek told a press conference: "The thing is, I never really imagined that moment because, truth to be told, I was working day-by-day and playing tennis well. But I never had the strong belief that it can actually happen. So, it's even more surreal for me.
"I loved every moment of it. It doesn't matter for me if there were fireworks. The crowd was really supportive, they were really excited. I'm just soaking everything in because I didn't have any expectations."
Swiatek will become the 28th woman to hold the top world ranking since the points system was introduced in late 1975.
Poland almost had a world number one a decade ago when Agnieszka Radwanska climbed to number two in the rankings.
The former Wimbledon finalist congratulated her compatriot on social media, tweeting: "Brawo @iga_swiatek!"
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