Facebook post by University of Helsinki

Estonian immigrants don't come to Finland to be 'benefit tourists', but to work and gain the protection of the welfare state by paying taxes. “It is easier for Estonians to integrate and learn Finnish. Estonians are not subjected to racism and discrimination in the same way as many other migrant groups,” says Dr Rolle Alho.
The Finnish welfare state is attractive to Estonian migrants | University of Helsinki helsinki.fi

Estonian migrants are attracted to Finland because Finland is an encompassing Nordic welfare state. Their objective is not to take advantage of the system, but to work and participate in maintaining it.