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CA isn't round number.
They don't improve every day from training.If your player is CA7 and his LA is 8 or higher, he will only improve further by playing matches.
I am not sure that players would be improving in training until 7.23As far as i know, player improves until CA is 7 (outfield players) or 5.4 (goalkeepers), sometimes you see that you player's CA is 7 and he is still getting something from training, well... his CA is 6.9 or something like that actually, it's just that the game shows CA/LA in round numbers.
How is this possible? Player is CA 6/ LA 3/ PR 1 !!!
This is probably player from the start of game (1st season) when we could see this cases.