WASHINGTON (CNN) - President Barack Obama is expected to announce his Afghanistan strategy "early next week," senior Pentagon officials told CNN Tuesday.

The officials would not speak on the record because there has not been an official announcement.

Several media reports have said the announcement will be on Tuesday, December 1.

The officials said that after the announcement, the current thinking is that Defense Secretary Robert Gates, Secretary of State Hillary Clinton and Joint Chiefs of Staff Chairman Michael Mullen will testify to the Armed Services and Foreign Relations committees for both the House and Senate.

It is expected that Gen. Stanley McChrystal, the top commander in Afghanistan, will also testify on the Hill after the principals do, the officials said.