Top seed Swiatek has been in superb form on hardcourts since the Australian Open, capturing the Doha title and reaching the final in Dubai, and the Polish player looked set for another comfortable win after cruising through the opening set.
The reigning US Open champion found herself in trouble at 2-4 in the next set but battled back to close out the match in the tiebreak.
"She (Andreescu) changed the rhythm pretty well and with this surface it can get tough," Swiatek said.Â
"But I'm pretty happy I was solid most of the times, at least.
"I'm even glad that I got a chance to kind of play under pressure some more and see how I'm going to cope with it."
Unseeded Raducanu, who has been sidelined by injuries and illnesses that have kept her out of action since the Australian Open, earlier beat 13th seed Beatriz Haddad Maia 6-1 2-6 6-4.
The victory was the 20-year-old Briton's best by ranking since her surprise Flushing Meadows title in 2021 and just the second time since that US Open run she has strung together three consecutive match wins.
It was a disappointing day for Leylah Fernandez, who Raducanu beat in the final two years ago, as the Canadian fell 6-4 6-7 (5-7) 6-1 to fifth seed Caroline Garcia.
Even though the match required three sets and nearly two-and-a-half hours to determine a winner the fifth-seeded Garcia was rarely under pressure from her opponent, who managed just two break chances and could not convert either.
Australian Open winner Aryna Sabalenka will take on Dubai champion Barbora Krejcikova after advancing to the fourth round when her Ukrainian opponent Lesia Tsurenko withdrew due to a panic attack.
Tsurenko said the attack was triggered following a conversation with WTA chief executive Steve Simon about tennis' response to Russia's invasion of her country.
