Dominic Raab has said he cannot make any "hard, fast guarantees" that more restrictions will not be needed ahead of Christmas Day.
The Deputy Prime Minister said the data is "always under review" but claimed the country is in a "better position to enjoy Christmas with loved ones" this year.
However, he was unable to offer any guarantees as he advised people to be "careful and cautious" in the coming days.
Amid reports ministers have pushed back against calls from scientific advisers for new measures to tackle the Omicron variant before Christmas, Raab offered his support for the Government's approach while noting all Cabinet ministers ask questions about the advice received.
Confirmed cases of the faster-spreading strain have risen by more than 12,000 in the UK - and London's cases alone topped 10,000, according to the latest data on Sunday.
But about one third of the Cabinet are said to be reluctant to support new restrictions in the coming days, with Prime Minister Boris Johnson and Chancellor Rishi Sunak among them, according to The Times.
The paper reported that 10 ministers are resisting a call by the Government's chief scientific adviser Sir Patrick Vallance at the weekend for new restrictions to be brought in as soon as possible to prevent the health service being overwhelmed.
Conservative MPs are expected to receive a Zoom briefing from Sir Patrick on Monday afternoon.
Johnson has been presented with three options to tackle the spread of the virus, according to the Daily Telegraph.
The paper reported that they range from guidance asking people to limit indoor contacts, to rules on household mixing, social distancing and a curfew on pubs and restaurants and, thirdly, a full lockdown.
The Telegraph quoted one unnamed Cabinet minister as saying data presented by Sir Patrick and England's chief medical officer Chris Whitty on Saturday was "just trashed by the Cabinet".
The source said "guidelines, rather than restrictions, are entirely possible".
Conservative peer Lord Frost also offered an insight into the mood of some within the Cabinet after stating he quit as Brexit minister over the weekend because "I don't support coercive policies on Covid ".
"The Prime Minister has got some very difficult decisions to take and I'm sure he'll be thinking very hard at them," he told Sky News.
Raab, addressing concerns over festive plans, told Sky News: "We will have a much better Christmas than last year because of the vaccination level, both the overall vaccination level but particularly the impact of the booster campaign, and we saw on Saturday, just in one day, 900,000 people get their booster.
"I do think of course, you have heard it from the Health Secretary over the weekend, I'd echo that, people will need to be careful and cautious.
"I do think that again, subject to the data, and it's always under review, we're in a better position to enjoy Christmas with loved ones this year."
When asked if he could guarantee there will not be more restrictions between now and Christmas Day, Raab said: "Well, I just can't make hard, fast guarantees."
Raab added the Government is "very mindful" of the sectors of the economy that are "suffering" at the moment, including hospitality.
Earlier today, the SNP's Westminster leader Ian Blackford said the Scottish Government needs the appropriate resources to deal with the spread of Omicron.
Speaking on the BBC's Good Morning Scotland show, he added: "We need to make sure that we've got the resources that the government needs in order that we can deal with the crisis.
"There was a COBRA meeting that took place yesterday, the First Ministers of all the devolved nations were invited, that invitation came from the Prime Minister but neither the Prime Minister or the Chancellor thought it important enough to attend.
"That's three COBRA meetings on the trot.
"The Scottish Government has asked the UK to confirm whether or not the money that's been talked about is additional money or whether there's a drawdown from next year's finances.
"We still haven't got answers to those questions, but of course if it is a drawdown for money for the following year then that has implications to our budget and spending.
"What we need to make sure is that we've got the resources that we need so we can respond to the crisis."
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