Voxel is right about the height. The A1000 floppy was a lot higher. But a little judicious drilling in the A1000 mounting bracket would get it fitted correctly.
But the interface was no problem with any true Amiga floppy drive. They'll all work in an A1000. I had a low profile, high density floppy working in my 1000, although the high density aspect never worked right for me.
Paul