LaHood and the remaining group of U.S. NGO workers were allowed to leave Egypt two weeks ago after a bail was paid.
The incident highlighted tensions within the military-led Egyptian government that’s been in place after former leader Hosni Mubarak left power.
Clinton’s certification of the aid to Egypt would allow some, though not all, of the military aid to be given to the Egyptians, the Times reported.
Human-rights groups have pushed the Obama administration not to resume the military aid to Egypt, citing human-rights abuses.
Amnesty International sent a letter to Clinton this week urging her not to certify the aid.
“Making such a certification would undermine the brave struggle of the Egyptian people for a society founded on respect for human rights and the rule of law,” the group wrote. “Waiving the certification requirement would forfeit a key form of pressure for the advancement of human rights.”