Yep, should be perfectly fine, I did something similar when I moved my SSD from my old Gigabyte 990FX UD7 motherboard (AMD) to to my Asus Sabertooth X79 (Intel) and didn't bother reformatting or wiping, worked like a charm.
Only thing you really need to worry about is if your current system uses AHCI Sata or IDE mode, you may need to set it to IDE in the BIOS on your new motherboard if you ever wanted to boot into Windows with your old drive.
You *may* also need to set the main boot device in the BIOS to as you essentially have 2 copies of Windows installed and that should stop it booting from the mechanical.

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