The Swans broke their transfer record earlier this summer when Wilfried Bony joined for £12m from Vitesse Arnhem and Britton thinks that the club should still be looking to add more firepower ahead of the September 2 deadline.
"We need or two more players, and yes, maybe a striker," Britton told Sky Sports News.
"At the moment we only have Bony up top as an out-and-out [forward]. The gaffer (Michael Laudrup) knows the Spanish market so maybe he'll be looking to bring one or two of the lads from over there.
"I don't know if there's going to be players leaving but I'm sure the club's going to look to do some business before the end of the window. It'll be interesting to see what happens before the window closes."
Swansea have been linked with Spanish Under-21 forward Alvaro Vazquez.