Suarez has endured a tricky season for Barcelona, scoring just five goals across all competitions so far.
The Uruguay international was on target against Celta Vigo this weekend but was unable to inspire Barcelona to another La Liga win.
Much has been made of his struggles with the Nou Camp outfit supposedly keen on one of Antoine Griezmann or Paulo Dybala to become Suarez’s replacement.
But Spanish website Diario Gol claim Messi sought talks with Valverde over the weekend, and told him that Neymar may be the key to Suarez rediscovering his scoring touch.
Neymar joined PSG from Barcelona in the summer for a world-record £200million.
But the Brazil international was not always at the peak of his powers during his four-year stint in Catalonia.
Barcelona carefully nurtured him during his time at the club, playing him regularly in order to help him realise his potential.
And Diario Gol claim Messi told Valverde his feelings on the matter.
He supposedly wants Valverde to stick with Suarez because he reckons he will reap the rewards further down the line.
Barcelona may also strengthen in January in order to coax the best out of their No9.
Philippe Coutinho of Liverpool is a priority target, despite the Reds rejecting three bids for the Brazil international back in the summer.
The club have also been linked with a move for Nice midfielder Jean-Michel Seri.
And PSG forward Angel Di Maria is another target, despite the Argentina international recently experiencing a resurgence over at the Parc des Princes.