The killing of Osama bin Laden won't necessarily lead to a speedier withdrawal of foreign troops from Afghanistan, the White House and British Prime Minister David Cameron say.

White House spokesman Jay Carney told reporters Tuesday that the plan is on track to begin pulling out troops in July and turning responsibility for security in certain areas over to the Afghans.

Cameron also told BBC radio on Tuesday that bin Laden's death was "clearly a helpful development, but it will not necessarily change any timetables."

NATO and U.S. forces plan to quit their combat role in Afghanistan by the end of 2014. The U.S. plans to begin pulling out some of its nearly 100,000 troops in July.

Canada plans to end its combat mission in Afghanistan by the end of 2011, but soldiers will remain in the country until 2014 to act as trainers for the Afghan army.

Cameron said allies should use the development to persuade Taliban fighters to renounce violence and enter talks aimed to drawing them into the political mainstream.

Allies "should use it as an opportunity to say to the Taliban now is moment to separate from Osama bin Laden and al-Qaeda."

U.S. President Barack Obama told The Associated Press in an interview last month that he was awaiting a recommendation from Gen. David Petraeus, the top U.S. commander in Afghanistan, before deciding on how many troops to bring home.

Obama added that the number would depend on conditions on the ground in Afghanistan.

With files from The Associated Press