The Swans have made a sluggish start to 2017-18 after losing Gylfi Sigurdsson and Fernando Llorente over the summer and the currently sit 18th in the Premier League.
Paul Clement's side have won just once, against rock-bottom Crystal Palace, losing three of their four league outings in September.
Swansea relied on their home form in the second half of last season to beat relegation from the top-flight and Britton has stressed the importance of making the Liberty Stadium a fortress once again.
Newly promoted Huddersfield head to South Wales on Saturday before Leicester make the trip a week later and Britton is keen to see them claim positive results.
Britton told Swansea's official website: "We have Huddersfield and Leicester coming up next and they are huge games for us. 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."