Ulis was selected No. 34 overall in the second round.
He joined UK teammates Jamal Murray (No. 7, Denver) and Skal Labissiere (No. 28, Sacramento Kings via Phoenix Suns) as draft picks, giving the Wildcats 28 since head coach John Calipari arrived in Lexington prior to the 2009-10 season.
Ulis will have a chance to rejoin former UK teammate Devin Booker in Phoenix, as well as Wildcat alumni Eric Bledsoe, Brandon Knight and Archie Goodwin, although it's unlikely that all will remain with the Suns going into next season.
The 5-foot-9, 160-pound Ulis was the 2016 Bob Cousy Point Guard of the Year winner. He was the first player in UK's storied history to win the award, coming off a season which saw him average 17.3 points, 7.0 assists and 1.5 steals per game. The Ohio native, who played his high school basketball in Chicago, was also a unanimous first-team All-American and the SEC Defensive Player of the Year.
As a sophomore, Ulis set a new UK single-season assist record, dishing out 246 to break John Wall's old mark. He had a streak of 28 consecutive games with four or more assists, the longest in school history dating back to 1972-73 when assists were officially tracked.
During a nine-game stretch from Feb. 6 to March 5, Ulis dished out an eye-popping 92 assists and committed only 16 turnovers. Among those performances was a 27-point, 12-assist, one-turnover game in a win at South Carolina.
Ulis scored a career-high 30 points and dished out five assists in UK's SEC Tournament championship win over Texas A&M, claiming MVP honors.