Rodgers cites the departure last summer of Darren Pratley and Dorus de Vries as examples of the grass not always being greener.
De Vries is now understudy to Wales goalkeeper Wayne Hennessey at Wolves, while Pratley has failed to win a regular starting place at Bolton. Rodgers said: "I didn't want to lose anyone, but we did.
"Have they gone on and furthered their careers?
"Look at Neil Taylor, who almost left for Newcastle in the summer. He would have boosted his wages and played for a big club. But I was able to sell him the vision of this club. Now, he's already made great strides. There's no doubt for me that he is going to be one of the top full-backs in the game.
"But I'm under no pressure to sell.
"In fact, my aim is to boost our squad. We have identified targets and I feel we'll need four or even six new players to maintain our improvement."