The Geordie, who signed for Liverpool for £35 million from Newcastle, is keen on making a move back to Tyneside in the summer according the Daily Star.
Carroll had hoped that his spell at West Ham might convince Liverpool there was still value in keeping him at Anfield, but he has been told by Brendan Rodgers that he can leave in the summer.
The paper says that: "Although Carroll has settled in London, and can play the style of football demanded by Hammers boss Sam Allardyce, his first choice would be a return to St James’ Park.
"Toon fans were stunned when their local hero left two years ago, and boss Alan Pardew considered trying to bring Carroll back on loan before he ended up at West Ham.
"Now Carroll believes a cash-plus-player deal, possibly involving Toon top scorer Demba Ba, could provide a route back to his beloved North East.
"The Senegal ace has been linked with a transfer and has a £7.5m release clause in his contract."
Liverpool desperately need a striker themselves of course and yesterday Paper Round reported that Chelsea's Daniel Sturridge had agreed terms with the club.
However, various papers are reporting that that deal has now hit a snag, with Liverpool refusing to pay Sturridge's advisors what they are asking.
The Times points out: "Fenway Sports Group (FSG), the owner of Liverpool, has ordered a clampdown on agents’ fees after an audit revealed that more than £30 million has been paid to players’ representatives over the past four years.
"The new hardline stance is already having an effect. Negotiations with Sturridge have stalled, despite personal terms being agreed, because Liverpool are unwilling to yield to demands from the player’s representatives for a substantial percentage of any sell-on fee. Liverpool have already targeted Kevin Gameiro, the Paris Saint-Germain forward, in the event of the proposed deal with Chelsea collapsing."
In better news for Liverpool, it would appear they have reached an agreement with Raheem Sterling, and the 18-year-old breakthrough star is expected to sign a new five-year contract before the end of the week despite interest from Manchester City and Chelsea.
To other rumours and Aston Villa manager Paul Lambert has targeted Manchester City forward John Guidetti on loan to bolster his forward line. Lambert, the Aston Villa manager, will enter the January chase to sign the Sweden international for the rest of the season, with old mentor Martin O'Neill at Sunderland likely to prove one of his main competitors. (Daily Telegraph)
Villa are also lining up a £1m move for Crystal Palace hitman Glenn Murray. But ex-Eagles and current Bolton boss Dougie Freedman is ready to battle Villa manager Paul Lambert for his former striker. (Daily Star)
Adel Taarabt has pledged his future to QPR - despite interest from Barcelona and Russian moneybags Anzhi Makhachkala. (Daily Mirror)
Queens Park Rangers have stolen a march on trying to sign Loic Remy after the France forward held talks with the West London club’s officials this week. (The Times)
Wigan boss Roberto Martinez is in talks with Manchester United about signing Chilean striker Angelo Henriquez in an emergency loan deal. (Daily Mirror)
Salomon Kalou is considering a return to England with Lille ready to sell in January. The 27-year-old joined for free from Chelsea in the summer as Lille beat West Ham, QPR and Everton, among others, in the race to win his signature. (The Daily Mail)
And finally, West Brom have told Millwall and Brighton they want £1.5million for 21-year-old Kiwi striker Chris Wood. (The Sun).
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