Since new Davis Cup reforms have been introduced, India will not have to go back to the Asia/Oceania Group immediately.
India's Saketh Myneni is one win away from making the singles main draw of the US Open as he advanced to the third and final qualifying round with a 7-6 (6), 6-4 win over local lad Mitchell Krueger.
The 534th ranked Yuki, who missed out on half the season in 2016 due to a tennis elbow injury, conjured up a 6-1, 6-4 win against his 116th-ranked American opponent.
The tournaments involve eight players each, divided into two pools of four on a round-robin basis. Sets have been slashed to best-of-seven games.
The final of the Croatia event in the coastal resort of Zadar, the second leg of the tour which would have featured world number one Novak Djokovic and Russian Andrey Rublev, was cancelled as a result.
In the absence of an injured Yuki, a lot would depend on how the left-handed Prajnesh, who won a singles bronze medal at the Asian Games, performs.