Williams is notorious for his Cardiff-style 'Ayatollah' goal celebration at Vetch Field 19 months ago.
While Jenkins revealed that no discussions have taken place with the Hammers for Williams, he said that the players' past misdemeanour was not a factor in any potential transfer.
Jenkins said: "That would have no bearing on anything and we are always on the look-out for good players who might become available.
"I still think we need another one or two players and Williams is a midfielder who can score goals."