The 21-year-old midfielder, who is on a three-month loan spell from Arsenal, has managed just 20 minutes in a Millers shirt after breaking his collarbone in the early stages of his debut at Southend in October.
Randall returned to the Gunners for treatment and is now back in full training with the Premier League side, but will return to Don Valley next week.
"Randall hasn't trained with us yet but he is back training at Arsenal and we are hoping he will be able to train with us on Monday," Moore told Press Association Sport.
"Then really it's just a matter of getting his match fitness, so he could be ready just in time for Christmas."
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Source: PA
Source: PA