The 26-year-old was linked with a possible move to Bundesliga champions Bayern Munich in the transfer window, but that seems unlikely now, with The Bavaraians looking set to bring in Galatasaray's Sacha Boey instead.
The Gunners were expected to be fairly quiet in the transfer window after they splashed out around £200m in the summer to sign the likes of Declan Rice, Kai Havertz and Jurrien Timber.
However, Mikel Arteta's side have been hit with several injuries in defence this season, and a report from Football London now suggests that Arsenal may look to bolster their defensive line this month.
The report adds that PSG are open to letting the French defender depart on a temporary basis in this transfer window, and the possibility of Mukiele joining The Gunners until the end of the season is seen as a risk-free move for the North London club.
Thomas Partey and Timber have been sidelined for the majority of the season, while Oleksandr Zinchenko, Ben White and Takehiro Tomiyasu have also missed several weeks in the current campaign due to injuries at various points.
There are also concerns around the fitness of Brazilian defender Gabriel Magalhaes and England international Rice, who were withdrawn in the second half of their last match against Crystal Palace.
Speaking after the match, Arteta provided the following statement regarding Rice's withdrawal: «No, he was feeling some tightness. „I don't know what muscle it was. But when he says that at 3-0 then obviously we don't want to take any risks.“
When asked about Magalhaes, the Arsenal boss added: „The same with big Gabi. He had some discomfort
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