Carragher says the best option is to delay Coutinho's departure to Barcelona until the end of this season.
He posted to social media, stating: "Best thing @LFC is agree the BIG fee for Coutinho to go in the summer like we've done with Keita, not now.
"What do the club gain by doing it now? Top 4 & CL progression seriously risked if they sell in Jan, & difficult to replace him now.
"If he goes on strike he damages himself."