However, the switch will automatically turn permanent for a fee of £160m at the end of the season.
But with the summer approaching, PSG would also need to keep in line with FFP regulations but Spanish outlet El Gol Digital claim they are well off the mark.
The report suggests that the Ligue 1 outfit will have to offload Neymar to stand any chance of keeping within the laws.
Real Madrid celebrate 2-1 win against PSG in changing room
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Real Madrid apparently want Neymar to replace Cristiano Ronaldo.
El Gol Digital add that the sale of the 26-year-old will alert Real, who are keen on making him Cristiano Ronaldo’s long-term replacement.
Los Blancos are planning a huge summer shake-up of their squad and Neymar is their prime target.
Manchester United’s David de Gea is also on their wanted list, as is Chelsea’s Thibaut Courtois.