Despite selling the striker to Inter for a sizeable fee earlier this month, United opted against signing a replacement before the English transfer window closed.
However, the club's hierarchy intend to make the entire £75m available to spend in the mid-season market if Solskjaer wishes to bolster his squad.
United spent more than any Premier League club this summer, signing Harry Maguire, Aaron Wan-Bissaka and Daniel James for a combined £148m.
That outlay does not affect their ability to bring in new faces in January, though, with Solskjaer thought to be keen to add a creative midfielder to the ranks.
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