But the £12million swoop for England star Sturridge, 23, hit a snag over agent fees.
But Rodgers is sure he will be able to add players of the right quality - and the right character.
He said: "You have to get hungry players in who want to work and want to fight to be successful.
"They will get a good contract coming here but if they want to argue over money, I don't want them.
"In my experience those players will eventually let you down.
"That's the message for any player coming here - you can't take the money and run. You have to earn the right to play for this club and help us succeed."