The Reds have generated some interest in selling naming rights for a proposed new stadium in Stanley Park, but are reluctant to rule out the option of staying put.
With it imperative that the club are able to compete financially with their Premier League rivals over the coming years, they are keen to explore all avenues.
Taking that into account, Billy Hogan, managing director of Fenway Sports Management, admits the Merseyside outfit will not be rushing into any decision.
"We see Liverpool as a truly global proposition from a marketing standpoint and a naming rights partnership with Liverpool Football Club is really unlike any other thing there is out there," he said. "It's something we've seen some interest in and we'll continue to have those conversations."
Hogan has also confirmed that any final decision will 'rest on which opportunity allows us to keep generating revenues to compete with the rest of our competition in the Premier League'.
Meanwhile, Liverpool have announced that four players are to leave the club after seeing their contracts expire.
Reserve team quartet Deale Chamberlain, Steven Irwin, Alex Copper and Nikola Saric have been informed that they will not be retained for the 2011/12 campaign.