Forssell said that the government in principle wants British citizens to be able to extend their residency and stay in Sweden.
"We are therefore going to look at the issue and see if we can do something from our side to ease the processes," he said in a statement shared to the Dagens Nyheter newspaper.
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In the statement, he said the government would start by contacting the Migration Agency to better understand the issue and would "after that look over what in that case might be appropriate to do at a political level".
Forssell's statement comes after the deportation orders given to Joyce Thomas, a 78-year-old retired nurse, and Horace 'George' Mason, who requires 24-hour care for Alzheimer's, have put Sweden's high level refusals back in the spotlight, making them a political issue in Sweden.
Håkan Svenneling, an MP for the Left Party, this week submitted a written question to Forssell in the parliament demanding to know what the government intended to do about the issue of elderly British citizens being issued with deportation orders.
In the EU Commission's latest report, for the period ending December 2024, it found that Sweden had rejected over 27 percent of applications (3,918 of 14,233), far more than any other EU country.
Forssell said that the statistics might have been affected by British citizens who instead applied for citizenship, as well as late or incomplete applications.
David Milstead, a campaigner for the Brits in Sweden group, agrees that the EU statistics are inadequate, with different countries recording the figures differently.