The paper says that the two clubs have agreed a fee of £12 million for the 23-year-old, and the deal is at such an advanced stage that Sturridge was due to travel to Merseyside today for a medical but that has been postponed due to a small hitch with the player's representatives.
Sturridge has long been linked with Liverpool but it now sees that everything is in place for him to go straight into the squad when the transfer window opens.
The Times says it is a similar story with their other target Thomas Ince from Blackpool who will join for £6m just 18 months after Blackpool bought him off the Reds for £250,000.
In a nice twist for Liverpool though, they put in a 35 per cent sell-on clause when they sold Ince, which means that the transfer fee will actually only cost them £4m.
Ince has agreed a contract work £25,000 a week and has also rejected counter offers from Newcastle and Tottenham.
It seems like he is already spending his new wage, with pictures in the Daily Mail of him with a brand new Porsche.
Also in The Times is the news that Arsenal have opened 'formal talks' to sign Dutch striker Klaas-Jan Huntelaar, but the 29-year-old does want to be paid a £100,000 a week.
Huntelaar, who plays for Schalke in the Bundesliga, is out of contract at the end of the season and is hoping for a three-year contract.
If Arsenal want to sign him in January they will have to stump up a transfer fee of around £6m.
There is also good news for Arsenal fans in regards to Theo Walcott, who has resumed contract talks with the club for the first time since August.
The Telegraph reports that: "Fears were mounting that (Walcott) would simply see out his existing contract and then leave at the end of the season but, in a significant step forward, it can be revealed that fresh negotiations were held last week and have continued in recent days.
"Although no agreement has been reached, there is more optimism about a potential deal than at any stage in the last four months.
"… There is a sense that a five-year deal could still be struck at around £85,000 a week."
Arsenal also hope to announce new deals in the next few days for Jack Wilshere, Alex Oxlade-Chamberlain, Kieran Gibbs, Aaron Ramsey and Carl Jenkinson, which will see them all commit until at least 2017.
Athletic Bilbao president Josu Urrutia has reiterated the club have no intention of selling wantaway star striker Fernando Llorente during the January transfer window. A host of clubs across Europe, including Manchester City and Tottenham, are interested in the 27-year-old but Athletic intend to make any interested parties wait until next summer to get their man. (Daily Mail)
Sir Alex Ferguson met Pep Guardiola in New York this week with the former Barcelona manager still undecided over his future, increasing speculation that he could eventually succeed him at Manchester United. (The Sun)
Monaco coach Claudio Ranieri has confirmed his desire to bring David Beckham to the ambitious Ligue 2 club. Ranieri, who is backed by Russian billionaire owner Dmitry Rybolovlev, also wants Chelsea's Frank Lampard and believes Beckham can play a pivotal role in the development of Monaco's emerging squad. (Daily Mail)
And finally, Jimmy Kebe has told Reading's Russian owner Anton Zingarevich to put his hand in his pocket during next month’s transfer window if he still wants to have a top-flight club come the end of the season. (Daily Star)