Liverpool defender Gomez is admired by Aston Villa and is on their radar, but a move in January is a no-go, reports the Athletic.
While Villa are in need of defensive reinforcements this window, Liverpool aren't prepared to let him leave midway through the season.
The report goes on to name Nat Phillips as a potential alternative.
Reds boss Jurgen Klopp is willing to allow Phillips to depart this month.
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