Capital gain tax on gifted property

Dear Sir/Madam,

     My father wants to sell his house (held more than 20 years), and buy another house in my mother's name.

To get long term capital gain tax exemption, we found that the new house should be bought in my father's name only.

So we thought, that my father can gift the old house to my mother, and then she can sell it, and buy the new house in her name.

Will this attract any short term or long term capital gain taxes (that cannot be exempted by the new property purchase)?