Raab was speaking during a joint press conference with Qatar Foreign Minister Sheikh Mohammed bin Abdulrahman Al-Thani in Doha, where he visited housing for refugees evacuated from Afghanistan after the Taliban swept to power last month.
Sheikh Mohammed said Qatar was talking with the Taliban and working with Turkey for potential technical support to restart operations at Kabul airport.
"We are trying our best to support now bringing back the airport to be up and running and this is remaining our focus in the next short term period," Sheikh Mohammed said.
The hardline Islamist militant Taliban seized control of the Afghan capital Kabul last month, but have yet to name an administration or reveal how they intend to govern.
Raab said he had discussed with Qatari officials the need to ensure Afghanistan does not harbor terrorism in the future, preventing a humanitarian crisis, preserving regional stability and holding the Taliban to account on their public pledge to set up a more inclusive government.
"Our immediate priority is to secure the safe passage of those remaining British nationals, and also the Afghans who worked for the United Kingdom, and others who may be at the most risk," he said, adding that he would be talking to regional leaders about securing safe passage through third countries.
Britain has moved its Afghanistan embassy from Kabul to the Qatari capital Doha.