The Dutchman joined the Swans after Neil Taylor broke his ankle in September, and has proved a solid presence over the course of his 21 appearances to date.
The 27-year-old's deal is due to expire this summer, and he recently claimed he expected to leave the Liberty Stadium after receiving no approach from the club over an extension.
But the former FC Twente full-back is now hoping to negotiate a longer stay.
He told the Western Mail: "Me and the club are going to talk about the future and we will see where it ends.
"We're going to talk this week. It's not just about the last couple of weeks - it's about all the games.
"I have a feeling I did my job well and we will see what happens. Of course I want to stay. I like Swansea."