Reds defender sings praises of the Uruguayan after an impressive display in the demolition of Fulham at Craven Cottage, and believes he can be a huge player for the club
The former Ajax man, who arrived on Merseyside for around £23 (€26.2) million, has either scored or assisted in each of his team's last three games and has become an instant hit with supporters.
The 24-year-old also turned in the Reds' fifth goal against the Cottagers, and Carragher told the club's official website: "If he [Suarez] keeps playing like that I think he'll be a bigger legend than I'll ever be.
"He looks a really top player, he plays for the team. It shows he's adaptable and versatile, he can do different jobs for the teams."
Carragher, who made his 666th appearance for the club on Monday night, added: "We've been flying since Christmas and that's credit to everyone involved.
"The manager's come in and made a big difference, whatever he's done has worked.
"Players coming in have made a huge difference as well, Suarez is superb.
"I hope I'm not getting too carried away here but I think the performances that he's showed have proved he's going to be a real player for Liverpool, not just between now and the end of season but for years to come."