Manager Brendan Rodgers hammered home the message that the club will not be forced into selling the Uruguayan and said the player “totally understands” their stance.
Arsenal have had two bids rejected, the last one of £40m plus £1 which they felt would trigger a sale clause.
But Liverpool have always insisted that was not the case and are adamant all they had to do was inform the player of the approach.
Suarez has stopped short of submitting a transfer request or seeking legal recourse over the contract clause and Rodgers claims the whole summer saga has not affected his attitude.
He said: “It’s a story that can keep running but for me there is no new news. Luis is happy. He totally understands the club’s point of view.
“He’s in a difficult position, in terms of not being able to play because of his suspension. But he’s working hard and remains part of the group. He hasn’t been moping about.
"It’s obviously difficult when you come back after a break but he has settled in and has been working well.”
Rodgers praised his squad for their focus despite the Suarez saga.
He said: “It says a lot about their professionalism. The environment that we’re creating is that the star will always be the team.
“We want top players here but if for whatever reason we don’t, we know we can rely on the team and each other.
“The harmony in the group is good. The spirit is strong. There is a one-club mentality. If we can keep it that way, we can have a great season.”