"I won't take a stance on a quota system like the one the Swiss people have voted for," said Mazyar Keshvari, immigration spokesman for the Progress Party, a member of the ruling coalition which wants a more restrictive immigration policy.
"But the idea of a referendum is interesting and Norway should also organise a referendum on immigration. I'm completely certain that a majority wants to tighten up" the policy.
Norway is not a member of the EU but is included in the European Economic Area and the Schengen Area which allows relatively unrestricted movement of citizens.
On Sunday, 50.3 per cent of the Swiss voters decided to reverse a decision which gave equal footing to European Union citizens in the Swiss labour market.
The European Commission reacted strongly saying that it would assess EU ties with Switzerland.
Immigration has been a hot-button issue for many EU countries over the past several years.