The migrants came ashore Wednesday at the Royal Air Force base at Akrotiri, from where British planes are carrying out bombing raids against the Islamic State jihadist group in Iraq.
"A small number of the migrants have already claimed asylum," a British military statement said.
Officials could not confirm if those who had asked for asylum would be handed over to Cypriot authorities to process their applications.
But the statement said: "RAF Akrotiri is not a route through which people will be able to get to the UK."
"As a precautionary measure, a temporary transit facility is being provided at an appropriate location on the Sovereign Base Area should it become necessary to move the migrants," said the statement issued by British Forces Cyprus.
"In accordance with existing agreements, officials from the Republic of Cyprus (RoC) in collaboration with the SBAA (Sovereign Base Area Authority) continue to process the migrants and deal with all asylum claims through their system," it added.
A total of 28 children, 19 women and 67 men - Syrian, Palestinians and Lebanese - came ashore in two fishing boats.
Cypriot immigration officers have conducted one-to-one interviews at Akrotiri to decide on the next steps.
The British defence ministry said on Wednesday the migrants should be handed over to the Cypriot authorities in line with a 2003 agreement for them to "take responsibility in circumstances like this".
Before that deal was signed, migrants landing on the bases had been left in legal limbo.
In 1998, a ramshackle fishing boat crammed with 75 migrants landed at Akrotiri, which lies in one of two base areas over which Britain retained sovereignty when Cyprus won independence in 1960.
You’ve reached your limit of {{free_limit}} free articles this month.
Subscribe now for unlimited access.
Already subscribed? Log in
Subscribe to read the full story →
Smart Quarterly
₹900
3 Months
₹300/Month
Smart Essential
₹2,700
1 Year
₹225/Month
Super Saver
₹3,900
2 Years
₹162/Month
Renews automatically, cancel anytime
Here’s what’s included in our digital subscription plans
Exclusive premium stories online
Over 30 premium stories daily, handpicked by our editors


Complimentary Access to The New York Times
News, Games, Cooking, Audio, Wirecutter & The Athletic
Business Standard Epaper
Digital replica of our daily newspaper — with options to read, save, and share


Curated Newsletters
Insights on markets, finance, politics, tech, and more delivered to your inbox
Market Analysis & Investment Insights
In-depth market analysis & insights with access to The Smart Investor


Archives
Repository of articles and publications dating back to 1997
Ad-free Reading
Uninterrupted reading experience with no advertisements


Seamless Access Across All Devices
Access Business Standard across devices — mobile, tablet, or PC, via web or app
