Khan pushed the Pakistani government block NATO supplies after the strike on Mehsud, but it has shown little interest in doing so.
Pakistani Prime Minister Nawaz Sharif has been a vocal critic of drone strikes, but he has also said he values the country's relationship with the US.
Sharif pushed President Barack Obama to end drone strikes in a visit to Washington in October, but the US government has shown no indication that it intends to stop.
When Khan failed to persuade the Pakistani government to block NATO supplies earlier this month, he announced that he would hold a protest to do so himself.