The Uruguayan has not hidden his desire to leave the club this summer, with Arsenal and Real Madrid leading the chase for his signature.
Arsenal tested Liverpool's resolve last week with a bid of £40million plus £1, which triggered a clause in the striker's contract whereby he has to be notified of the interest.
Waving goodbye? Luis Suarez is on the verge of
leaving Anfield, with Arsenal or Real Madrid the likely destination, and
Liverpool legend John Barnes (below left) believes the move should be
pushed through quickly
Speaking on talkSPORT, he said: 'We've seen in the past when transfers go down to the last minute that it doesn't help anybody, especially for a club like Liverpool who, if they lose Suarez, would have to find a big name replacement.
'I'd like it to be done sooner rather than later because if it goes down to the last day, and you then have to go and get somebody, it's not ideal.
'As far as Suarez is concerned, if he's not going to be happy, then he has to go.
'We can all say, "Yes, we think Suarez is going to be a player like Carlos Tevez, who gives 100 per cent no matter what" but we don't know what his mental state is going to be if he doesn't get his wish (to leave Liverpool).'
Curtain call: Suarez has been playing for Liverpool on their pre-season tour of the Far East and Australia