The transformers driving your current lamps will have a minimum amount of load the need on them. If this minimum is less than the load your LED will put on it then it won't work. It will also be supplying 12v AC which won't work with some lamps.
Rather than replacing the transformers with drivers you're better off taking out the transformer, fitting a GU10 socket to the lamp holders and using GU10 LEDs, there's more to choose from and it will cost less than buying drivers on top of the lamps.
Rather than replacing the transformers with drivers you're better off taking out the transformer, fitting a GU10 socket to the lamp holders and using GU10 LEDs, there's more to choose from and it will cost less than buying drivers on top of the lamps.