The 33-year-old defender fell ill on a trip home to Abidjan before joining the team's World Cup training camp in Dallas, the team's doctor said.
Cyrille Dah told the Ivorian Football Federation website, www.fif-ci.com: "Since Wednesday Kolo has been having treatment
This treatment will end on Friday
We have therefore told him to rest
He will not participate in the match against Bosnia-Herzegovina (on Saturday), but will return early next week."
Toure was a bit-part player for Liverpool last season, but has won more than 100 caps for this country.
Ivory Coast kick off their World Cup campaign against Japan in Recife on June 14
Colombia and Greece are their other opponents in Group C.
Source: PA