The ice cubes I use in my tm are pretty big and solid, and from the sounds of it, they are probably the same size as yours. I haven't had any problems with them and I actually prefer them to small cubes because I find the small ones melt very quickly and result in a slushy sorbet, whereas the larger cubes give me a firmer sorbet. It all melts and slushes up in the end, I suppose, but I like 'em BIG!