The Timberwolves have four of their five starting spots cemented, but the shooting guard role remains unclaimed.
Corey Brewer, Martell Webster and rookie Wesley Johnson will compete for the role, with Wayne Ellington and rookie Lazar Haywood at the position as well.
"I have no idea how it will play out," coach Kurt Rambis said.
"We've had guys play really, really well. Martell's had a really good camp. Wes has had a good camp, Wayne has had a good camp. Corey's been solid. Lazar's been solid. It's a good problem to have."