The 31-year-old grandmaster from Russia won ahead of schedule at the Candidates Tournament in Madrid.
In the match of the 13th round, he tied with Richard Rapport from Hungary.
Nepomniachtchi scored 9 points and became inaccessible to his opponents.
In the 14th round, the Russian chess player will play on July 4 with the Pole Jan-Krzysztof Duda.
Carlson in 2021 in the match for the chess crown defeated Nepomniachtchi with a score of 7.5:3.5.
Earlier it was reported that Nepomniachtchi played a draw with American Hikaru Nakamura in ten minutes.