Defense Secretary Ash Carter says he wants coalition and other Arab countries to "greatly" increase the number of trainers they provide for Iraqi security forces and police and adds that that the U.S. will also look at boosting its numbers.

Carter says the U.S. is open to doing more when there is an opportunity "to make a difference." Yet he says that there is no reason why the U.S. should be doing all of the training.

He adds that the special commando force in Iraq has not yet started operations.

Carter spoke Tuesday to reporters as he traveled to Paris for a meeting with several defense ministers, most of them from Europe.