"And as ever, we will keep the position under review."
Britain supplied 42 million pounds ($53 million) of arms to Israel in 2022.
Last week three former senior UK judges joined more than 600 members of the British legal profession in calling for the government to halt arms sales to Israel, saying it could make Britain complicit in genocide in Gaza.
Some opposition political parties in Britain have called for the government to recall parliament from its current holiday and revoke the export licenses, and also to publish the legal advice the government has used to reach its position.
Cameron said Britain continued to have "grave concerns around the humanitarian access issue in Gaza".
He defended the decision not to publish the legal advice on arms export licences. He said it was an important principle that ministers act consistently with legal advice without making it public.
"The overall judgement is that those export licences will remain open and continue," he said.
Published 09 April 2024, 19:40 IST