The 20-year-old midfielder has struggled to adapt to the league's demands since joining the team in the summer.
Bellingham has found himself on the sidelines due to coach Niko Kovac's decisions, which has led to tension.
A disagreement between Kovac and Bellingham's father, Mark, occurred earlier in the season after Bellingham was substituted at halftime.
Borussia Dortmund's management remains confident in Bellingham's abilities, but a potential loan transfer in January is possible, according to transfer experts.