The United States is considering building more U.S. military bases in Iraq to drive back Islamic State militants in a move that may require a further increase in American forces, the top U.S. general said on Thursday.

A day after the White House announced the deployment of 450 more U.S. troops to Iraq and a new training hub in Anbar province, Gen. Martin Dempsey said the Pentagon was considering more sites in strategic areas such as the corridor from Baghdad to Tikrit and farther north toward Mosul.

Dempsey, chairman of the Joint Chiefs of Staff, acknowledged these might require sending more U.S. troops, which already numbered about 3,100 in Iraq before Wednesday's announcement. His spokesman said American forces could also be moved from within Iraq to avoid troop increases.