"Obviously the last couple of weeks has been upsetting for everybody connected with the club and especially for the players and coaches involved in that period," Robinson said.
"The stories we've read have caused a lot of distress. We're all deeply shocked. The players' ethos is based on a will to win with a togetherness that means everybody has to drive towards achieving the same goals. The thought that anybody among us, at any time, may have been working against that aim sickens and disgusts us."
Robinson's view was echoed by Sussex captain Ed Joyce, who understands that his teams perception could be tainted by the actions of Vincent and Arif.
"My reaction to these stories was anger. There was a lot of anger in the dressing room," Joyce said.
"The question 'does Sussex have a problem?' is what comes when you get a couple of alleged bad apples in your team. People start questioning the things you do. We met on Sunday morning and there was a huge amount of anger there because everything we do as a team is about winning games."
"To think there could be people in your midst who aren't doing everything they can to win is the worst thing you can do to a professional sports team."
On Friday Vincent denied striking a plea bargain and said he expected to face more charges on top of the 14 already levelled against him.