Novak Djokovic battled into the French Open fourth round for the 14th consecutive year on Friday as Carlos Alcaraz also progressed, after women's third seed Jessica Pegula and men's seventh-ranked Andrey Rublev were dumped out of the tournament.

Djokovic has made headlines for his comments about Kosovo this week but his on-court progress has been relatively serene, reaching the second week without dropping a set.

The Serb star was made to work hard by Spanish 29th seed Alejandro Davidovich Fokina, who served for the first set and missed a set point in the second, but won 7-6 (4), 7-6 (5), 6-2 on Court Philippe Chatrier.

"I thought if I lost the second set we would play five hours today, but I'm proud of the performance," said Djokovic.

Two-time champion Djokovic, who has also made the French Open quarter-finals in each of the past 13 years, will take on Peru's Juan Pablo Varillas in the last 16.

The 36-year-old is hoping to break out of his tie with injured rival Rafael Nadal at the top of the men's all-time list of major winners at Roland Garros.

He is just one title behind Serena Williams' mark of 23 Slams and two adrift of Margaret Court's overall record.

Djokovic, slated to meet world number one Alcaraz in the semi-finals, has now won three of his four matches with Davidovich Fokina.

The first two sets lasted two hours and 47 minutes, as Davidovich Fokina provided a stern test of Djokovic's form.

But the world number three broke when he trailed 6-5 in the opening set before overturning a 3-1 deficit to win a tie-break.

Davidovich Fokina missed one set point to level the match before Djokovic won another breaker before being booed by the crowd for taking a medical time-out.

"That's something that I find disrespectful and I frankly don't understand that," said Djokovic, who made short work of the third set.