Castles says United want to sign a left-back and have Williams as Wan-Bissaka’s backup.
However, Solskjaer is willing to change tack and sign a right-back if the right player becomes available.
He added: “We told you some time ago Manchester United were in the market for another full-back, that they were prepared to sign either a left-back or a right-back, preference being for a left-back but if the player was of sufficient quality of the options available to them, they would take a right-back, a younger one on that side.
“If they take a left-back, the idea is to move Brandon Williams from back-up up to Luke Shaw into back-up for Aaron Wan-Bissaka and allow him to develop over there.”
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