KABUL, Afghanistan -- Afghan President Hamid Karzai says his homeland has achieved political stability, but Afghans still do not feel personally secure in their daily lives.

Karzai told CNN in an interview to be aired on Sunday that the U.S.-led military coalition and Afghan forces have slowed the Taliban's march. But he adds that it will take time to be sure the insurgents' momentum has been reversed.

According to a transcript of the interview released on Saturday, Karzai also said his government would welcome a decision by the Taliban to open a political office -- which he believes would signal their willingness to try to find a nonviolent resolution to the decade-long war.