The date for Kaminsky's workout is unknown. Cauley-Stein is expected to work out on Tuesday.
New York will pick fourth in the NBA Draft on June 25.
Looney, Kaminsky and Cauley-Stein are all projected to be taken outside of the top four.
So the Knicks are either doing their due diligence by working these players out or are considering trading for a lower pick.
Both team president Phil Jackson and general manager Steve Mills have said that the organization would be open to potentially trading its pick.
Mills said in April that he’d already received calls from two opposing GMs asking about the Knicks' pick.
If New York decided to trade the pick, the club could look for a future first-round pick and/or a player in return.
The Knicks have four trade exceptions worth between $1.8 million and $5.9 million. Those exceptions can be used in a trade to obtain a player with a commensurate salary.
So the Knicks could potentially take back a player making as much as $5.9 million in a trade.
Of course, there is also ample circumstantial evidence that they will keep the pick, based on the players they’ve worked out.
New York hosted point guard Emmanuel Mudiay and Duke forward Justise Winslow for individual workouts and meetings last week. Jackson and other Knicks staffers also watched Latvian big man Kristaps Porzingis work out in person in Las Vegas last Friday.
League sources familiar with the team’s thinking said after Winslow's workout that the 19-year-old was “definitely in play” for New York with the fourth pick.
Mudiay is viewed as a top-four pick as well. Some project Porzingis to be taken in that range, too.
D'Angelo Russell, another point guard projected to go within the top four picks, said that he has a future workout for the Knicks. It is unclear at this point when that workout will take place.
As far as the players the Knicks are scheduled to see this week, New York is enamored by the impact Cauley-Stein may have on the defensive end, league sources say.
But there are questions about how effective Cauley-Stein can be on offense at the next level. He's projected as the sixth pick in Chad Ford’s latest Mock Draft.
The 7-1 Kaminsky is a strong shooter and scouts project him as a player able to play both center and power forward in the NBA. There are questions about Kaminsky’s ability to defend at the next level, though.
He's projected as the 13th pick in the draft in Ford’s latest Mock Draft.
The 6-9 Looney is viewed as a strong rebounder, particularly on the offensive end, and has shown an ability to knock down perimeter shots. Ford’s latest Mock Draft projects the former UCLA standout as the 19th pick.