The attacker is regarded as one of the club's most promising youngsters, but he could be on the move after seeing first team opportunities restricted
The forward has been one of the stars of the Under-20 World Cup in Turkey this summer after previously impressing with Real Madrid Castilla in 2012-13.
However, he's been finding first team football hard to come by at the Santiago Bernabeu and could opt to move on in order to get more playing time elsewhere.
"I don't know what the club wants with me. I assume they will want to offer me a renewal, but I don't know what I will do. I am not going to lie about it," the 20-year-old told Marca.
"I am calm about my future. I've had a good season and I'm doing well at the World Cup now. I'm relaxed.
"Once the World Cup is over, We'll open talks to discuss my future."
Rodriguez, who has a contract until June 2014, has already netted five goals for Spain's Under-20 side to help them to the quarter-finals of the World Cup.