Steven Gerrard is yet to discuss a contract extension at Liverpool, but hopes talks will be held in the near future.
QPR are looking to sign Kolbeinn Sigthorsson from Ajax, while they want a quick decision on Loic Remy's future.
The 32-year-old initially joined the Saints in 2010 on loan from Italian side Cesena, before that move was made permanent.
Do Prado has started just three league games in the last 12 months, and he has accepted that he will be departing St Mary's in the summer when his contract expires.
"I am going to miss Southampton if I have to go. I would be sad to go," said do Prado.