John W Henry and Tom Werner are ready to back Reds boss Brendan Rodgers in the January transfer window, and are already believed to have made contact with Stamford Bridge officials.
Sturridge is rated at around £15million, but Chelsea boss Roberto Di Matteo will be determined not to lose him, with Fernando Torres currently his only other central striker option in west London.
Rodgers will push hard to conclude any talks swiftly enough for him to get his man in the first week of January, though, as he wants to avoid a repeat of the problems that Liverpool endured in the summer.
After allowing Andy Carroll to leave Anfield for West Ham on-loan, the Reds failed in a deadline-day bid to sign Clint Dempsey from Fulham, and as a result were left short on attacking options.
Luis Suarez is currently the only recognised first-team striker, with summer signing Fabio Borini sidelined for three months with an injury picked up on international duty with Italy U21s.
Liverpool failed to agree a loan deal with Sturridge in the summer, but with the Chelsea youngster about to enter the final 18 months of his contract - and showing no signs of signing a new deal - Di Matteo might be forced to consider a sale.