The Toffees defender suffered a muscle tear in the 2-2 draw with Tottenham last Sunday.
“A scan carried out showed that it was a familiar hamstring injury (and) that I should rest until the end of the year,” Yobo told the club’s official website.
“They (doctors) anticipate that I should be fully back at the end of December.
“Unfortunately that will cost me a chance to help out my club at this demanding and crucial stage of the season.”