The International Development Select Committee produced a report on the refugee crisis which supported the move, originally proposed by the charity Save the Children.
The Committee has said refugee children who make it to Europe are vulnerable to prostitution, human trafficking and the drugs industry.
Britain has already committed to taking in 20,000 Syrian refugees from United Nations camps by 2020. It's already brought in 1,000 of them.
Fiona Bruce, a Christian MP on the Committee, told Premier: "Most refugees would actually like to stay there and go back to Syria when the conflict is over, but the problem is that so many other countries apart from the UK are not providing the right level of assistance [which is] causing refugees to flee the region.
"The government has provided funding and local authorities are stepping up to the plate, and quite remarkably... groups across the country - particularly church groups - are also offering enormous help and support... for refugees.
"So I actually believe that there is the support there. What we need to do is to improve and streamline the facilities to ensure the refugees who're welcomed to this country come as soon as possible."
A Government spokesperson said: "As this report rightly makes clear, the UK has been at the forefront of the humanitarian response to the Syria crisis and we will continue to push others to honour their commitments.
"Our programme in Syria has already resettled vulnerable children as part of family groups, with over 1,000 refugees resettled by Christmas.
"Additionally, the UK Government's £1.1 billion commitment is helping hundreds of thousands of the most vulnerable people in Syria and the region to rebuild their lives and next month's Syria conference in London will raise significant new funding from the international community.
"This work in the region is both saving lives and is firmly in Britain's national interest."
Listen to Premier's Aaron James speaking to Fiona Bruce here:
