The floor pans are the same, it will fit fine assuming you are using BW or Muncie 4 speeds so the shift plate exits the tunnel in the factory location for the shifter (bench seat & SS Cars exit in the same place)
The 61 & 62 SS shift plates are designed to fit on a 4 speed tunnel cover and to
mount to the tunnel cover with a factory style shift plate mount.
Without the tunnel cover the SS shift plate will tilt to the drivers side.
The factory style shift plate mount makes the installation work the best( after switching or finishing 5 - 61 & 62 SS Cars )
Paul