The second number over the second number over the American Zachary Svajda in consecutive groups to reach the second round of Delray Beach.
Nuri, the winner of 2022, needed 90 minutes to win 7-5 6-4 over the world number 169.
The players have exchanged periods of service in a narrow group played in hot and humid conditions in Florida.
She gave a strong step below the Nuri line a second break, as the 29 -year -old was concentrated comfortably to take the group.
With the level of the second narrow group on an equal footing at 4-4, Norrie was unable to convert five breaks in the eighth Mammoth match before finally finished sixth.
Then he took the second points of the two points of the match at his service in holding a meeting from the second round with the second French classified Arthur Renderink or Gabriel Diallo in Canada.