Fourth seed Yuki was leading 6-3 3-0 in the semifinal when Russian qualifier Daniil Medvedev decided to withdraw from the contest.
It will be the fourth final of the season for Yuki, who won the Karshi Challenger and ended runner-up in Delhi and Samarkand.
"I had to play defensive. He is a big guy and pretty hard. So the plan was to stay with him and wait for him to make errors," Yuki said after his match.