Britton acknowledges that manager Paul Clement's men must do better if they are to enjoy a successful season.
“We have Huddersfield and Leicester coming up next and they are huge games for us," the Swans skipper said.
“We haven't won at home yet this season, whereas last year our home form after the manager arrived in January was very good.
“We need at least one win from these two games – probably four points at least.
“We don't want the table looking bad so we need to make these home games count."