The Ivory Coast international suffered the injury during the warm-up ahead of Saturday's defeat at Chelsea and was immediately withdrawn from the starting line-up.

"Obviously with this sort of injury it is normally weeks rather than months," Martinez told City Talk 105.9.

"The type of player Lacina is, a sprinter, means these sort of injuries need to be well recovered."

The giant striker arrived from Monaco, having not played since November because of the winter break in the Russian season while at previous side Anzhi Makhachkala, on January 24 with an existing hamstring injury to his other leg.

That meant he didn't make his Everton debut until February 15, when he scored against Swansea in the FA Cup -- his only appearance for the Toffees.

Traore could now miss the majority of Everton's matches in March, so the Merseysiders will be grateful for the return to fitness of their other on-loan striker Romelu Lukaku.

The Belgium forward injured an ankle in the derby defeat by Liverpool at Anfield a month ago but would have been fit to play last weekend had the match not been against parent club Chelsea.