Hi Andrea, you would have to be more specific. Panasonic has a whole range of Lumix cameras with varying sizes. It would totally depend upon the dimensions of the model which you are talking about. I am using this particular case for Canon PowerShot ELPH 320 HS with dimensions of 0.8 x 3.7 x 2.2 inches. If you think your camera has similar dimensions then this case shall fit perfectly.
I think, but am not certain, that the Lumix is a bit more compact than my Olympus SZ-12. My Olympus fits, but I wish the case were just a tad larger, but only slightly. If I'm right about the Lumix, it should work very well.