Earlier in the day, French Interior Minister Bernard Cazeneuve called on the UK government to reunite migrant children from the Calais camp with their families in the United Kingdom.
"If we have all the information from the French, which we expect to get during the next week or so before they actually clear the camps, we will move very quickly within a few days and remove those children when we can," Rudd said, speaking in the House of Commons.
The secretary also urged France to present a list of those persons, who are eligible to transfer under the Dublin Regulation.
On October 3, a group of 10 UK Conservative Party lawmakers wrote to Rudd, urging her to help refugee minors, who live in squalid conditions in the migrant camp.
The camp, located not far from the English Channel, is seen as a gateway to the United Kingdom by thousands of undocumented migrants.
According to estimates by the l'Auberge des Migrants/Help Refugees charity, as of early August, Calais had more than 9,000 residents, including 865 minors, of whom 676 were unaccompanied children.