Some people have had the CSR tell them the product change was finalized and the conversion will happen after the next statement cuts only to find out later that no product change occurred.
Mine took about 6 weeks. I called about 2 or 3 times and they couldn't find the product change request. I think it was the 5th week and somehow I was transferred to the Spanish speaking rep and he was able to find my request and told me that I will receive the new card in a week, which I did. I also found out from mint.com on the 5th week - my BOA account displayed WorldPoints.