Per HoopsHype's Alex Kennedy, Speights will work out for the Lakers Friday.
Cousins was expected to share minutes at center with JaVale McGee for the Lakers this season, but the four-time All-Star could miss the entire 2019-20 campaign after tearing his ACL while working out in Las Vegas on Aug. 15.
Howard is currently under contract with the Memphis Grizzlies, but Wojnarowski noted they will "gladly" work on a buyout with him if another offer presents itself. The three-time Defensive Player of the Year spent the 2012-13 season with the Lakers.
Speights is attempting to make an NBA comeback after spending the 2018-19 season in the Chinese Basketball Association with the Guangzhou Long-Lions.
In 10 NBA seasons, he has played for six different organizations. He won a championship with the Golden State Warriors in 2014-15.