That's an ominous sign for the series' future. The remaining three episodes will air in June, the network said.
"Commander in Chief" started strong for ABC last fall but faded -- to the point where it was briefly taken off the air before being given another chance this spring. It went through three supervising producers in one year.
Meanwhile, Davis accepted an award for her portrayal of President Mackenzie Allen Tuesday night at the United Nations from The White House Project, a nonprofit organization that works to promote women's voting, political participation and leadership, with a goal of electing a woman president.
"So many countries have had a female head of state before us," she told the 500 guests at a dinner in the U.N. Delegates Dining Room. "So it is certainly time."
Davis told a predominantly female crowd that it was appalling that the United States hadn't elected a woman president.
"Year in and year out there are real-life gains being made by women, but there is still a huge gender disparity," she said.
But "if elected to another season -- uh, term," Davis joked, "whatever I can do to make change happen quicker in the fake world, I promise to do."
Poll results don't look promising. The show ranked No. 64 in the Nielsen Media Research rankings last week, with 6.5 million viewers.
ABC announces its fall schedule in two weeks.