Striker Austin is expected to leave Loftus Road following Rangers' relegation to the Championship and has been linked with Newcastle, Leicester, West Ham and Crystal Palace.
Ramsey admits Rangers have knocked back a number of offers for the 26-year-old, who scored 18 Premier League goals last season
And with QPR believed to be holding out for around £15million, Ramsey believes the former Burnley frontman could still be at the west London club by the time the new season kicks off next month
"There have been offers," Ramsey told Sky Sports News
"With a player of Charlie's ability, there will always be speculation
"At the moment, there has been nothing concrete
We've had offers that we've rejected, and we've had offers that Charlie himself has not been happy to take on.
"At the moment, he's a QPR player and he's working hard in training
I'm having the idea that he will be here into the season
If he is here during the season then he is going to be someone that we want to use."
Austin made his second pre-season appearance in the Hoops' 2-1 friendly win over Dundee United on Wednesday.
Source : PA
Source: PA