De Rossi is yet to open new contract talks with Roma.
"We'll see what happens in the future, I'm just here to win a first team shirt," said former Real Madrid midfielder Gago.
"Daniele De Rossi? There won't be any problems. We can co-exist in the same team, I can play anywhere in midfield.
"I had some injury problems last season and it was complicated. However, I played in the Copa America and I'm feeling good."