The 23-year-old full-back is the subject of reported transfer interest from Anfield, but remains very much in Jose Mourinho's first-team plans in west London.
Ashley Cole is currently Chelsea's undisputed first-choice left-back, and after signing a new one-year contract to extend his stay at Stamford Bridge, looks like being so again in 2013/14.
However, Mourinho is said to have held talks with Bertrand, to reassure the England youngster - who played in 38 of Chelsea's 69 games last season - that he will play an important role in the campaign ahead.
"I want to be Chelsea's No.1 left-back, and when that time comes it will happen," said Bertrand. "All I can do is be ready and keep playing, keep biding my time.
"I'm thinking of nothing else. I am just focusing on being No.1, concentrating on progression in the games I get, and I've managed to do so in recent years."
Liverpool have Jose Enrique in their ranks, but also played Glen Johnson out-of-position on the left-side of defence on a number of occasions last season, and Brendan Rodgers wants to add another natural left full-back to his ranks this summer.
Rodgers knows Bertrand well from his time as a youth coach at Chelsea, but it now looks as though he'll need to turn his attention to alternative targets.