Brooklyn then plans to re-sign guards Shumpert and Roberson to 10-day contracts, as well as add forward Tyler Cook on a 10-day deal, sources told ESPN.
Wednesday is the league's deadline to guarantee nonguaranteed contracts for the rest of the season.
Vonleh, Shumpert and Roberson would clear waivers on Friday at 5 p.m. ET. If they are claimed during the waiver process, their contracts would become guaranteed.
The moves give the Nets roster flexibility to take on players in trades or the buyout/free agent market.
Vonleh had a cap hit of $263,995, Shumpert $447,155 and Roberson $163,818.
Cook has averaged 20 points, 10 rebounds and 4.6 assists in the G-League Bubble for Iowa in seven games.
The Nets can continue to use 10-day contracts up until the March 25 trade deadline to retain roster flexibility.
Information from ESPN's Bobby Marks was used in this report.