The 21-year-old joined Chelsea from Manchester City in summer 2009 but has failed to hold down a first team spot.
With the arrival of Liverpool forward Fernando Torres looking more likely, Sturridge will know his opportunities will be further limited.
It was initially thought that Chelsea had offered Sturridge as part of a deal for Torres, but Liverpool were not interested in the player.
Bolton manager Owen Coyle admitted he is a fan of Sturridge and is looking to bolster his front line after missing out on a number of targets including Arsenal’s Carlos Vela.
"Well I think at this time there are always a host of names bandied about," Coyle told Sky Sports.
"What I would say Daniel Sturridge is, as we all know, a fantastically talented player.
"A player who I believe is one of the best, if not the best, young strikers in the country and a player who I believe with the platform of the Premier League will get better,
"You are always looking to bring in players into the football club that can help.”
The Scotsman has assured Wanderers fans that he is doing his upmost to add to the squad.
"We certainly would love to add another player to the squad we have and we are doing our utmost to bring that to fruition,” he added.
"It won't be through lack of effort or want of trying but there are still a few boxes to be ticked before that can happen."