Do you need a new cover when attaching wii motion plus to your wii remote?

When you buy wii motion plus for your remote does the cover for the wii remote fit onto it or do you need to buy another one because I was planning on buying wii motion plus and was wondering if the cover would fit onto it. Thanks I am greatful to anyone who answers my question. Thanks.Do you need a new cover when attaching wii motion plus to your wii remote?When you buy the wii motion plus it comes with an extended cover in order to fit the wii remote and the wii motion plus accessory.

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