Reports suggest the Spanish champions are keeping tabs on the Liverpool manager - but a move could not be more unlikely.
And yet only two main arguments are presented. Firstly, the fact that Rodgers has a year left on his contract after this summer and, secondly, that he can speak Spanish.
With all due respect, those parameters could apply to millions of people worldwide.
No, Liverpool boss Rodgers is extremely unlikely to leave Anfield for Spain this summer - and there are no two ways about it.
What's more, Liverpool have a very realistic chance of winning their first Premier League title since 1990. If it doesn't happen this year, what is to stop Rodgers strengthening and targeting top spot in the coming years?
The job has only just begun at Anfield, with the 41-year-old already having moulded a counterattacking force that could match anyone in Europe. Why would he leave that after just a season to manage a side that isn't on the up but rather a declining force?
True, contract talks have been slow with owners FSG - but that only mirrors their meticulous approach to making decisions. Since spending £35 million on Andy Carroll, they have seemingly not been keen on rushing into anything.
And if money were a problem, Rodgers would certainly receive a lucrative pay-rise were the Anfield club to join the top table in Europe once again.
If Liverpool were to meet Barcelona in the Champions League next season, meanwhile, no one could reasonably argue against the Reds having a strong chance of beating them.
The Blaugrana may have Lionel Messi, Xavi, Andres Iniesta and Cesc Fabregas - but Liverpool have Luis Suarez, Steven Gerrard, Daniel Sturridge and Philippe Coutinho. Were you to ask Rodgers, honestly, which quartet he would prefer, he would choose his current crop 99 times out of a 100.
As for Martino leaving Camp Nou at the end of the season, that is not set in stone, anyway.
"Martino has a contract with us until June 2015," president Josep Bartomeu told Cadena Ser earlier this week. "We would like Martino to remain with us next season.
"We hope he will remain with us for a long time. He is eager to do things well and win."
Just like Rodgers at Liverpool.