And according to the Telegraph, the 27-year-old's recent form could see him take the place of Liverpool's Daniel Sturridge in England's squad for the European Championships.
The report claims head coach Roy Hodgson has already settled on four of his strikers - Wayne Rooney, Harry Kane, Jamie Vardy and Danny Welbeck - with another place up for grabs.
Theo Walcott's inclusion is deemed unlikely by the Telegraph, which adds that Raheem Sterling currently has the edge over the Arsenal forward and should go as part of Hodgson's midfield pool.
Sturridge's omission would come as a surprise, given he was first choice at the 2014 World Cup and started last month's friendly against the Netherlands.
However, the 26-year-old failed to impress in that game and concerns remain over his fitness and form.
Despite a similarly sketchy record with injuries, Carroll has hit form since returning to the Hammers fold earlier in the season, scoring seven goals in his last 18 league outings.
The report queries whether Carroll offers more variation than Sturridge, who it is suggested would represent a less useful substitute or impact player than his West Ham rival.
But Carroll might not be the only Hammers player to take the place of a Liverpool one this summer, with Mark Noble continuing to stake his claim in the absence of Jordan Henderson, who faces a battle to be fit for France.