The Mirror says amid the speculation, United are serious about bringing the former Sunderland attacker back to England in January.
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The younger brother of Real Madrid star Jude Bellingham, Jobe is struggling to settle in Dortmund and in the Bundesliga.
However, United chiefs are convinced by Bellingham's potential and are seriously exploring the idea of bringing him back to England.
United would seek a loan-to-buy arrangement with Dortmund for the England U21 international.