More than 220 people have attempted the crossing in small boats since November.
Ms Nokes said Home Secretary Sajid Javid would cut short a family holiday to deal with the "major incident".
Dover MP Charlie Elphicke called for more patrol boats and accused the Home Office of letting the
"crisis" escalate.
The Conservative MP said the Home Office was not taking the matter "seriously enough".
It comes after another 12 people were detained off the coast of Dover in the early hours of Friday morning.
Ms Nokes said Home Secretary Sajid Javid would cut short a family holiday to deal with the "major incident".
Dover MP Charlie Elphicke called for more patrol boats and accused the Home Office of letting the
"crisis" escalate.
The Conservative MP said the Home Office was not taking the matter "seriously enough".
It comes after another 12 people were detained off the coast of Dover in the early hours of Friday morning.