The London club and Sheffield United brokered a settlement to end the dispute between the clubs, which is thought to have been in the region of £10-15million in favour of the South Yorkshire side.
However after paying out twice already they could still face further potential compensation claims.
West Ham issued a statement on Tuesday saying they will do everything they can to prevent "legal anarchy".
On their website, West Ham said: "Despite the extensive media coverage, West Ham United have received no formal legal claims from Sheffield United players or their previous manager relating to the so-called Tevez affair.
"The club have settled the matter of compensation, as ruled upon by Lord Griffiths, with Sheffield United and can see no basis for claims being brought outside of the arbitration process, established by the Football Association, which has now been brought to a close.
"However, it is now becoming clear that the ruling by Lord Griffiths has encouraged a potentially endless legal chain of claims and counter claims, which can only be damaging to English football.
"As a club we will strongly resist any attempts to prolong this matter through the courts both to protect our interests and those of the wider game.
"There is a lot more at stake than the finances of West Ham United and we will do all we can to stop this matter ending in a form of legal anarchy."