The acquisition of Kelly Oubre Jr. doesn't push the needle in any way. As an expiring contract, the Bulls can simply keep him till he becomes a free agent in the following season to create more cap space. The real benefit is gaining two first-round picks in this process. With a timeline for roughly 3-4 years, Chicago finds itself in a position to start constructing their roster with these assets.
Meanwhile, the Bulls may also find some solace by finding a replacement for White in this year's draft. With the 12th pick, Chicago is expected to select Jase Richardson, a reliable combo guard with two-way potential. Developing him may aid the Bulls' rebuild as well.