Portuguese here, yes we most definitely are. It’s been of the arguments to support immigration by the previous government since they usually are always net contributors to Segurança Social (Social Security).
The reason why governments promote immigration is because they want to increase the workforce (and in the case of Portugal, replace all the emigrants from Portugal). As the population is aging, if you want to keep cheap labor you need new arms to work, no matter who pays for the pensions.
But the supply of workers needed to provide the basic goods your aging population needs (including healthcare) shrinks and if you don't accept immigrants you end up with labor shortage (Or you raise the salaries for these jobs, but then the rest of your economy disappears because there's no one working there anymore).