The war, now in its seventh month, has killed more than 34,000 Palestinians, according to Gaza health authorities
"Over the last week we've vaccinated more people than in the entirety of December, so we're accelerating the roll-out," he told BBC TV.
Asked how many people had been vaccinated, Hancock said: "It's around the 2 million mark, but we're going to publish the exact figures tomorrow and then henceforth on a daily basis."