But the Uruguay international's arrival in Australia is more likely to be significant for talks over his future with the Anfield boss over the next 48 hours, reports Mark Ogden of the Daily Telegraph.
Suarez has used the summer break from Liverpool duty to inform the media of his desire to leave the Merseyside club, starting with a press conference in South America in May as the Daily Telegraph reported.
The striker has maintained that stance, and earlier this month his agent Pere Guardiola met with Rodgers and Liverpool managing director Ian Ayre, where Suarez's wish to leave was reiterated, according to Phil McNulty of BBC Sport.
However, Rodgers maintains the 26-year-old remains an "integral" part of his squad and is confident the former Ajax man is going nowhere, as Ogden reported.
I haven’t had it (talks with Suarez) yet. We only arrived late last night, he arrived earlier than the rest of us, but as we have always been as a club, I am quite relaxed about it.
Luis is here as expected, he is an integral part of squad and we will chat at some stage. He will train today and we will communicate over next few weeks, but we have spoken quite a lot of the summer.
We will chat more today, but he is a Liverpool player and he will be part of the group. You could see his closeness with squad last night.
Do I expect him to stay? Very much so. A lot has been said in the off-season, but the reality is that he is very much a player of importance.
Every player has a value and a worth, but it doesn’t mean we are going to sell him.
John Cross of the Daily Mirror reports that Suarez will tell Rodgers and the Liverpool hierarchy that he wants to join the Gunners while he is in Australia.
Suarez, of course, has also been linked with Real this summer, with The Sun's Mark Irwin claiming that the Spanish giants will offer Higuain and £20 million to Liverpool for the Uruguayan.
If the reports of Rodgers' interest in Soldado are correct, they are an indication that Liverpool are preparing for what seems like the inevitable departure of Suarez.
The Uruguayan's wish to leave Liverpool does not appear to have wavered since he first voiced his discontent at Anfield at the end of May.
The ball remains in Liverpool's court as they consider the options available for the sale of the forward, but Suarez's comments will not have endeared him to the supporters, and his departure from Anfield cannot be far away.
Supporters at the Melbourne Cricket Ground on Wednesday should relish the opportunity to see Suarez in a Liverpool shirt, as it may well be one of the last ones.