Reports say more than 200 people have tried to cross the Channel in dinghies and small vessels since November, with over 100 having attempted the crossing since Christmas.
The main United Kingdom opposition leader Jeremy Corbyn said there was a "duty to reach out the hand of humanity" to people facing danger and seeking safety.
As six more Iranian migrants reached Kent in an inflatable boat yesterday, the home secretary reached an "enhanced" agreement with his French counterpart that included raising awareness about the risks of the crossing.
But Mr Javid faced accusations of over-egging the scale of the problem, with shadow home secretary Diane Abbott telling the Guardian: "There's no question that with Brexit, and also with the approach of the meaningful vote in January, people are being whipped up about migration issues, because the Government thinks this is the best way of frightening people to vote for their deal".
The group were handed over to immigration authorities after being spotted in Kingsdown, near Deal.
Ms Nokes said the migrants who are brought ashore by the Border Force are fingerprinted and processed, offered medical treatment, and then work with UKVI officers.
Sajid Javid is to chair talks in London later after agreeing a joint action plan with the French interior minister.
"He has insisted the Home Office treat the situation as a major incident and has. asked for daily updates", it said in a statement on Friday.
The "blue-on-blue" onslaught was spearheaded by Dover MP Charlie Elphicke, who condemned the Home Secretary's "half-hearted Dad's Army type set-up".
"We are in close and continual contact with the French authorities and law enforcement partners including through the new U.K. -France Coordination and Information Centre which opened in Calais at the end of last month to tackle criminality at the border", Nokes added.
On Thursday she called the rising number of migrant crossings "deeply concerning", following the discovery of 23 Iranians in three locations in Kent.
"These are extremely unsafe circumstances in which people are choosing to cross borders", MP Diane Abbott said.
Immigration Minister Caroline Nokes said Javid was leaving his family holiday early to address the increase in crossings.
But he was it was "vital we strike a balance between protecting them and protecting our borders" after he was urged to deploy more Border Force Cutters.