De Rossi has spent his entire career at Roma, but was linked with a move away from the Serie 'A' side in the summer, and reports have resurfaced suggesting City and Chelsea could be ready to bid should the Italian star become available.
But fomer-Chelsea boss Carlo Ancelotti has dropped the biggest hint yet PSG could be tempted to move first for the Italy midfielder if it becomes clear Roma are willing to sell their star player.
Speaking to Radio Monte Carlo," Ancelotti said: "I think De Rossi is a great player. I was surprised by the fact that he did not play [in Roma's previous fixture], but it was only a temporary decision.
"He's a great midfielder, it is normal to be approached by PSG as we are one of the few clubs that can spend big money in the market, but the market is closed.
"At least he can talk in January."
De Rossi has made more than 390 appearances for Roma since making his debut in 2001, and the Italy international was part of his country's side that won the World Cup in Germany in 2006.
Chelsea, Manchester City and PSG form a select group of clubs with the financial clout to tempt De Rossi from Roma, although Roma have continually stressed they want to hold onto the playmaker. City reportedly came close to bringing the Roma midfielder to the Etihad Stadium last summer, but a move failed to materialise after De Rossi pledged his future to Roma.
But reports suggested last week De Rossi had fallen out with new Roma manager Zdekek Zeman, leading to speculation he could now leave the club in January.
De Rossi has spent 12-years at the club, but Chelsea and Manchester City have both been long-term admirers of the defensive midfielder, and could be tempted to bid. But Ancelotti has made it clear PSG will be in the running should the Italy star fail to patch up his differences with the Roma heirarchy.
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