Sturridge, 23, has been strongly linked with a move from Chelsea when the transfer window re-opens.
The Independent report that Liverpool is the striker’s “first-choice” destination, while The Daily Mail reported on Tuesday that the player was demanding £80,000 a week and also to play in a central role.
“Daniel Sturridge does not conduct his business in public,” Sturridge’s representatives said on Tuesday in response to the reports.
“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 was subject of a loan bid from Liverpool in August but the player preferred a permanent move. He remains a target for Brendan Rodgers.