HDD's and SSD's use different modes in the BIOS. AFAIK if you want to put the OS onto the SSD from the HDD you need to do a complete install.
Just make sure you put the SSD in and install windows on it before connecting the HDD overwise parts of the OS can end up on the HDD.
Just make sure you put the SSD in and install windows on it before connecting the HDD overwise parts of the OS can end up on the HDD.