The Midlands club were prepared to offer Darren Bent - a reported target for Kenny Dalglish - as part of the deal.
But the Anfield boss is adamant he won't allow Carroll to leave, despite his poor form.
It looks like Arsenal remain keen on bringing another young and 'versatile' midfielder to the Emirates and it's a player
It's almost impossible to avoid the rumours about Paul Pogba's imminent departure from Serie A Champions Juventus.
The latest gossip and rumours from the newspapers and online:The Daily Mail reports that Juventus are interested in Chelsea midfielder
David Moyes was swiftly appointed as Sam Allardyce's replacement as Sunderland manager on Saturday.
Sam Allardyce was on Friday handed his dream job of managing England, 10 years after missing out on the role.
Hull are looking for a new manager following the departure of Steve Bruce.