According to a BBC News report, the committee said falling fish numbers were a "serious cause for concern" and might not be sufficient to meet that demand.
The environment, food and rural affairs committee also said the UK should grow more fruit and vegetables to help avoid future global food shortages, says the BBC.
Government advice is for people to eat two portions of fish a week - one of which should be oily fish, rich in omega 3 fatty acids - although most people do not do so. Fish and shellfish are sources of proteins, minerals and are low in fat.
But a European Commission report in April warned 30% of EU fish stocks were beyond safe limits, reports the BBC.
Nutritional Advice Conflicts with Falling Stocks
UK - The UK government should think again about advising people to eat fish twice a week, a committee of MPs has said.