Both sides must win this Saturday if they are to have any hope of staying in the Premier Division and Division 2 respectively.
Saturday saw Cuckfield fall to relegation rivals Hastings & St Leonards Priory CC in a huge game at the bottom.
Neither team are safe yet but Hastings & St Leonards Priory are in the box seat with a 16 point lead going into the final game.
Seventh-placed Brighton & Hove CC are just five points ahead of Hastings.
Cuckfield will have to overcome recently-crowned champions Preston Nomads CC away from home, and hope other results go there way, if they are to secure their Premier Division status for next season.
Lindfield beat second-from-bottom Preston Nomads CC 2nd XI to move 24 points clear of the relegation zone.
A victory for the Swans on Saturday at home to already-relegated Roffey CC 2nd XI would guarantee their survival.
Swans captain Simon Shivnarain said: "We have a chance of staying up, but we are not complacent and know that will have to give 100 per cent effort against a good Roffey side."
Haywards Heath CC, meanwhile, were relegated from the Premier Division on Saturday after they were beaten by Roffey CC.
Heath were promoted from Division 2 in 2019, but the Sussex Cricket League campaign was cancelled in 2020 due to the Covid-19 pandemic.
Bottom-of-the-table Heath end their stint in the Premier Division with an away game against Three Bridges CC this Saturday.