Wick were relegated from division one of the County League following Selsey's 0-0 draw at Arundel last night.
A point for Selsey meant Wick are unable to lift themselves out of the relegation zone with only four games remaining.
With Littlehampton already down, Peacehaven are chasing a cluster of clubs to avoid the third relegation spot.
Arundel are among them and Mullets boss Mike Rowland said: "This was an important point for us. Although we were defensive, we did it well."
Sidley and Ringmer also drew 0-0 last night.
In division two, promotion chasing East Grinstead Town slumped to a 3-0 defeat away to Oakwood.
Gerald Manville opened the scoring on 32 minutes. An own goal doubled Oakwood's lead before Gary Bidwell wrapped up victory.
Eastbourne United won 3-1 at Saltdean thanks to goals from Scott McDonald (two) and Nima Cham. Liam O'Brien replied.
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