The government is under pressure over accusations it has failed to deliver personal protective equipment to all the medical and care staff who require it.
"We've delivered 1 billion items of personal protective equipment and tens of millions have been distributed via the devolved administrations (semi-autonomous governments of Scotland, Wales and Northern Ireland)," Raab told parliament.
"We recognize though that we have got to strive even harder in this incredibly difficult and competitive international environment to source the equipment."