But Bayern and a number of other suitors could feasibly muscle in on a deal before Juve get their terms settled.
According to Betway, Bayern have moved ahead of Liverpool in the race to sign Ramsey.
They are now the 14/1 second favourites after Juve to sign him in January.
Juve are not expected to make a January bid, knowing they are in the hotseat to land Ramsey on a free.
Liverpool transfer news: Arsenal could sell Aaron Ramsey in January (Image: GETTY)
Liverpool transfer news: Could Aaron Ramsey rock up at Bayern Munich? (Image: GETTY)
So Bayern Munich could therefore steal in ahead of the Turin side and secure a deal before January 31.
PSG are also 14/1 to sign Ramsey before the month is out, while Liverpool are lagging behind on 16/1.
The Reds were loosely linked with the midfielder earlier this season, having enjoyed the success of Alex Oxlade-Chamberlain quitting Arsenal for the Merseyside club in 2017.
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Unai Emery discusses Aaron Ramsey's future at Arsenal
On Ramsey, Betway’s Alan Alger said: “It had appeared that Aaron Ramsey was going to leave Arsenal in the summer, but we have seen a number of bets on the Welshman joining Juventus in January in the past 24 hours.
“The 28-year-old has been backed into 13/8 to join The Old Lady having been as big as 9/2 yesterday, with a stay at the Emirates on the drift at 4/7.
“Bayern Munich were another of the clubs mooted to be interested in the midfielder and we’ve seen a bit of support for them too at 14/1.”