The 24-year-old stuttered early in his West Ham career after making the loan move from Liverpool, scoring only once before being ruled out for two months with a knee injury.
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Goal.com exclusively revealed in April that Carroll is keen to prove himself at Liverpool, but the forward is targeting a strong finish to this time at Upton Park.
"Getting another goal was good, really good, because that keeps the run [of goals] going for me," Carroll told the club’s official website.
"I want to be scoring for the team all the time, as many as I can, in every match if I can, so it was important to put that one in.”
Carroll will get his chance to extend his goal tally when he faces his former club Newcastle United at Upton Park on Saturday.
The striker came back to haunt his old side, along with Kevin Nolan, when the latter gave West Ham a 1-0 victory at St James’ Park last November.
"It will be a tough game, it is always difficult to play against them,” Carroll added.
“They probably haven't had the season they wanted in terms of where they are in the league, but can still be a force and I am just looking forward to playing them.
"We did have a great result up there back in November, Kev got the goal. And we are playing really well at home and getting the results here, so we will definitely be looking to keep that going at the weekend as we feel confident.
"We went into Saturday's game on the back of five games unbeaten so it is always disappointing when a run like that is broken.
“But as I said, we are confident at home and it is all about making sure we finish the season in the strongest way possible and we will be trying to do that again with another good result at home on Saturday."