World number one Iga Swiatek says she reminds herself that it is impossible to continually play at the level she achieved during her 37-match winning run earlier this year.

Swiatek reached the second week at the US Open for only the second time after Saturday's 6-3 6-4 win over Lauren Davis and has moved into title favouritism, creating a level of perceived pressure.

That comes amid a run of form where the 2020 and 2022 French Open champion has been far from the levels achieved during her 37-match winning streak which ended in July at the hands of Alize Cornet at Wimbledon.

Since then, Swiatek has only won seven of 10 matches. Swiatek's victory over Davis marked the first time since the winning streak that she has managed three straight victories.

The Pole's hard-court form line has not been compelling either but the exit of Serena Williams along with top seeds Anett Kontaveit, Maria Sakkari, Paula Badosa and Simona Halep has thrust her into US Open favouritism.

But the 21-year-old is trying not to put any extra pressure on herself with that in mind, nor re-discovering the form she displayed earlier in the year.

"Honestly I didn't even focus on that cause I still remember how it is to lose," Swiatek told reporters. "After the tournament in Cincinnati [when she lost to Madison Keys in August], I knew like it's not the end of the world that I'm losing in third round.

"It's not like the whole universe changed so right now I'm always going to be in quarter-finals or finals or whatever, win tournaments. I tried just to remind myself that it's kind of normal, that it's impossible to play always on the same level.

"Here I just took it match by match. I wasn't expecting maybe too much because of the losses, so that's good. It's not like I lost confidence or something. I still know anything can happen on these tournaments."

Swiatek admitted she lacked rhythm against Davis, who had led 4-1 in the second set, before the Pole fought back to win the final five games.

The 21-year-old won 21 of the final 25 points of the match, securing her 53rd victory of the 2022 season, closing in on Ash Barty's 57 from 2019.

"It wasn't as smooth as in first and second round," Swiatek said. "I'm pretty happy I made it through and could close it in second set and come back. That was pretty important for me.

"For sure she played totally differently than most of the players, which threw me a little bit off the rhythm. But I'm happy I was fighting till the end."

Swiatek will take on Germany's Jule Niemeier, who is currently ranked 104th, for the first time in the fourth round on Monday.