The England international is believed to be a January target for Reds boss Brendan Rodgers after he failed to lure the 23-year-old from Stamford Bridge in the summer.
Sturridge reportedly asked for an £80,000-a-week salary as well as assurances that he would be played as a striker, having spent much of his career so far for club and country employed in a wide role.
But his representatives, Octagon, released a statement which read: "Daniel Sturridge does not conduct his business in public.
"He also does not make demands in any negotiation, with regards to salary or his playing position.
"Any contract between a club and a player has to be based on mutual agreement."
Sturridge has not played since the 2-1 defeat to West Brom last month due to a hamstring problem.