Adam Johnson came off the bench to pull one back for the Black Cats but the damage had already been done as Carroll revelled in a vital win for the east London club.
"Obviously every goal is a great feeling but against Sunderland it's a really great feeling but the three points is more important," he told Sky Sports.
"That's what I'm looking for now (to make the World Cup squad) - keeping fit, scoring goals and getting involved - that's the aim until the end of the season.
"Obviously we've got to take every game as it is and the teams are winning down below us but I think all the lads are positive about staying in the Premier League and I think we are safe, yeah."
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