Albion warned fans today they risk being banned from Withdean if they are caught swearing at players.
It follows verbal attacks on Jake Robinson and Dean Cox during the warm-up before Saturday's game against Bradford.
The same two players were also abused when they were substitutes for the previous home match against Doncaster.
Albion have launched an investigation into the latest incident and have vowed to come down hard on supporters acting improperly.
Chief executive Martin Perry said: "I am aware that two players were abused during the warm-up. I've had a preliminary report and I've called for further reports.
"If an incident like that is reported to us at the time and we can catch the culprits we would take action.
"When we get reports about foul and abusive language, which is the same thing, we gather the evidence to catch the culprits. That has happened in the past and we've dealt with it.
"Depending on the nature of the offence, we would ban those involved for a period until they see the error of their ways."
Albion have a zero tolerance policy towards foul and abusive language, racist language and behaviour, homophobic chanting, drunkenness, pitch encroachment and missile throwing.
A red card banning warning for anyone committing such offences appears in every home programme.
Meanwhile, Albion's League One survival will become a mathematical certainty if they win at play-off chasing Swansea on Saturday.
Even a draw would be enough, providing Bradford lose at home to fellow strugglers Leyton Orient and Chesterfield fail to win at Northampton.
No parking is available to Albion fans travelling by car to Swansea's Liberty Stadium. They should instead use the Park and Ride, signposted 350 yards after leaving junction 45 of the M4, priced £5 per vehicle.
Coaches and mini-buses should follow the brown stadium signs and park at the stadium, priced £10 per vehicle.
Match tickets must be bought in advance and there are no pubs for away fans close to the ground, which is strictly non-smoking.
Albion's title-challenging reserves are unchanged for today's visit to Millwall (2pm).
Alex Frutos has recovered after aggravating a shin injury in last week's win at Aldershot.
Albion Reserves (4-1-2-1-2): Kuipers; P. Hinshelwood, Elphick, Cobbs, Bakayogo; Mayo; Hart, Frutos; Ward; Elder, Gatting. Subs: Sullivan, Gargan, Pearson, Fogden, Wills.
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