Liddell (knee) has been ruled out for Monday's game against the Raptors.
Liddell wasn't available Friday in the Bulls' 109-95 win over the Hornets due to a sore left knee.
Liddell (elbow) is available for Friday's game against the Hawks.
The Bulls signed Liddell to a two-way deal Friday, Michael Scotto of USA Today reports.
Liddell is part of the Bulls roster for training camp ahead of the 2024-25 regular season, K.C. Johnson of NBC Sports Chicago reports.
The Suns waived Liddell on Wednesday, Shams Charania of The Athletic reports.
The Hawks are trading Liddell to the Suns in exchange for David Roddy on Friday, Adrian Wojnarowski of ESPN reports.
Liddell has been dealt to the Hawks along with Larry Nance, Dyson Daniels and two first-round picks in exchange for Dejounte Murray, Christian Clark of The New Orleans Times-Picayune reports.
Liddell amassed one rebound in three minutes during Saturday's 106-85 loss to Oklahoma City in Game 3 of the first round of the Western Conference playoffs.
New Orleans recalled Liddell from the G League's Birmingham Squadron on Monday.