Colombian striker Radamel Falcao will not return to parent club Monaco in the winter transfer window with the French Ligue 1 side telling him to stay at Chelsea to nurse his thigh injury.

Falcao, 29, has been on loan at the English champions but has not played since October 31. He had been expected to go back to Monaco in January.

"He has been injured for six to eight weeks. In these circumstances, we took the decision that he will not be returning," said Monaco vice-president Vadim Vasilyev.

Falcao has scored just once in nine games at Chelsea having scored only four goals on loan at Manchester United last season.

He had joined Monaco in a 60 million euro ($65.5 million) deal from Atletico Madrid in 2013 after scoring 70 goals for the Spaniards.

Meanwhile, Vasilyev said that former CSKA Moscow striker Wagner Love will sign an 18-month deal later this week having scored 14 times to help Corinthians to the Brazilian title in December.

Italian striker Stephan El Shaarawy, on loan from AC Milan, is expected to leave Monaco, added Vasilyev.