The wantaway striker is set to make his first-team return against Melbourne Victory, but his manager says the Arsenal target could leave if the Reds receive a suitable offerLiverpool manager Brendan Rodgers has conceded that Luis Suarez could leave the club if a suitable offer is received.
The striker touched down in Melbourne on Sunday ahead of his first involvement in the Reds' pre-season tour after being afforded additional time off following June's Confederations Cup.
Suarez made his desire to leave Liverpool public last month - with Arsenal set to test Liverpool's resolve with a £40 million offer after seeing an initial £35m bid rejected - and Rodgers has admitted he cannot rule out an Anfield exit for the Uruguayan.
"The reality is that he's a player who is very much valued at Liverpool and unless there's any sort of offer that comes in that is anywhere near his value, there's nothing to consider, and we haven't had that," Rodgers told the club's official website.
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"We'll chat to him at some stage, like we do with all the players, but he's back, he's in great spirits and he's obviously an integral part of the group.
"You could see his closeness with his team-mates last night when they were all seeing him for the first time in a number of weeks.
"He'll join training today [Sunday] with all the other players and over the course of these next few weeks we'll communicate."
Rodgers said both Suarez and captain Steven Gerrard were expected to feature against A-League side Victory in front of a sell-out crowd at the MCG on Wednesday.
"The players aren't quite up to 90 minutes yet," Rodgers said. "For the game in Indonesia we played a team for around 60 minutes and then we looked to make changes.
"The players are only three weeks into their preparations but they'll all be involved; they'll all have some part to play."
More than 95,000 fans are expected to fill the MCG in what is set to be the biggest crowd the English giants have ever played in front of.
"We're very honoured to be playing at such an iconic sporting venue," he added.
"It's a great honour to play there and to be sold out is remarkable really but it doesn't surprise me because the support for this football club really is worldwide."