WASHINGTON (CNN) -- President Bush has asked his new secretary of defense to draw up plans to increase the overall size of the Army and the Marines, according to an interview with the president published Tuesday by the Washington Post.

"I'm inclined to believe that we do need to increase our troops -- the Army, the Marines," Bush said. "And I talked about this to Secretary Gates and he is going to spend some time talking to the folks in the building, come back with a recommendation to me about how to proceed forward on this idea."

Senior administration officials said the timing of the president's comments is connected with Washington's oncoming budget season, and that the president intends for such plans to be part of the fiscal 2008 budget.

But the comments also come amid increasing warnings from officials and experts that the U.S. military is stretched too thin to cope with the stresses of wars in Iraq and Afghanistan.

"It is an accurate reflection that this ideological war we're in is going to last for a while, and that we're going to need a military that's capable of being able to sustain our efforts and to help us achieve peace," Bush told the Post.