But Omar, in an e-mail message sent to Reuters today, said he prayed for the health and safety of the Al-Qaeda leader.
Omar also reiterated his call for the withdrawal of foreign troops to end the conflict in Afghanistan, saying unless that happened, the war "would heat up further."
Omar essentially ran Taliban-controlled Afghanistan, including hosting bin Laden and his Al-Qaeda training camps, until the international invasion following Al-Qaeda's attack on the United States in 2001.
Periodic statements purporting to be from spiritual leader Omar have appeared since the Taliban fled Kabul.
In the latest violence, Taliban loyalists today claimed responsibility for planting a roadside bomb that killed five Afghan security staff on January 3 in southern Oruzgan Province.