The Daily Mail says Charlton are set to offer Bowyer his first chance in management as caretaker when Karl Robinson departs.
The Addicks rejected Robinson's resignation on Wednesday but his departure is believed to be imminent.
Bowyer is the man to be placed in temporary charge, with club captain Johnnie Jackson expected to act as his No 2. Bowyer's appointment could come as soon as Thursday.
Charlton are set to offer Lee Bowyer his chance in management when Karl Robinson departs
Bowyer is Robinson's assistant and wants to get started in management, while Charlton's promotion push in League One has stalled.