The 30-year-old attacker has struggled at Leeds since joining in 2020 and has scored just nine times in 45 appearances for the club.
He has netted just twice this season but has continued to remain an important part of the Leeds squad, being trusted by Marcelo Bielsa.
However, his future at Leeds has come under the scanner with days left in the winter transfer window.
According to Spanish daily Mundo Deportivo, Rodrigo is one of the players who have been offered to Barcelona this month.
The Catalan giants are looking to sign an attacker before the window closes on Monday and are assessing several options.
Rodrigo is one of the players that has been offered to Barcelona through market intermediaries.
It has been claimed that the Spaniard is looking for a more involved role and is believed to be keen on returning to Spain.
He is said to be unsure that he will make the Spain squad for the World Cup if he continues at Leeds, but the Whites rejected a loan bid for him from Barcelona last summer.
