The Polish star on Wednesday eased past Spain's Sara Sorribes Tormo 6-2, 6-0 in the second round of the women's singles at the grass-court Grand Slam tournament in the British capital.
Świątek, who is ranked world No. 1 by the Women's Tennis Association (WTA), will next face the winner of a match between Croatia's Petra Martić and France's Diane Parry.
The Polish player on Monday started her 66th week at the top of the WTA world rankings, with a 924-point lead over second-placed Belarusian Aryna Sabalenka.
Świątek at the end of last month withdrew from the Bad Homburg Open tournament in Germany due to illness.
Earlier in June, the Pole won the French Open for the third time after defeating Karolína Muchová of the Czech Republic in the final to claim her 14th career singles title.
The 22-year-old, coached by countryman Tomasz Wiktorowski, in April last year took over as the new number one in women's tennis, becoming the first Pole to top the world rankings.
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Source: Polsat Sport, IAR, PAP, wtatennis.com