"After detailed analysis by the specialists, a consensus was reached of conservative treatment of Neymar Jr's injury to the fifth right metatarsal", the statement from the French champions read.
Depending on his recovery, the 26-year-old could be back in contention for a prospective Champions League quarter-final with the first leg on April 9/10 and the second leg a week later.
Neymar, 26, left the field in tears after suffering the injury to the same fifth metatarsal, although in a different spot, on which he had surgery previous year, in PSG's 2-0 French Cup victory last week over Strasbourg.
"Paris St Germain sends its strongest support and encouragement to Neymar Jr to overcome this injury, with the courage and determination that the player has always shown".
Neymar damaged his right foot last season as he was forced to battle back to be fit for Brazil's World Cup campaign in Russian Federation.
Ole Gunnar Solskjaer's side host the Ligue 1 champions on Tuesday 12 February, with the return leg at Parcs des Princes taking place on 6 March.
PSG's talismanic forward Neymar. Although he recovered in time for the World Cup, he was not at his best in Russian Federation.
An operation would have put Neymar's participation in that tournament at risk, as well as effectively ending his club season.
Paredes signed on a four-and-a-half-year deal for a reported fee of 47 million euros ($54 million), and the club are also keen on the Everton midfielder Idrissa Gueye.