The midfielder joined Bayern from Hoffenheim in 2011, but saw his future at Bayern come under threat last summer following the signing of Javi Martinez from Athletic Bilbao.
The appointment of Guardiola has also raised questions about whether the Brazil international is going to be part of the new era at the Allianz Arena.
Gustavo is currently enjoying a break after helping Brazil to win the Confederations Cup and the 25-year-old is happy to wait to see what the future holds.
"I am under contract," Gustavo told Globo Esporte. "I want to stay but let's see what happens.
"I will present myself to the new manager on July 18 and let's see what his decision will be.
"This title doesn't make me feel that I am certain to play. It's always good to be valued, to see your job is being done well. Everyone who works feels happy to be valued.
"Now, let's see what will happen. I want to see out my contract. Our team is very good and I feel well in Munich, but let's see."