Now the wait is on to see if the Londoners come back with an improved offer for the 28-year-old Wales international.
With no financial pressure to sell, Town are in the driving seat even though Lynch is going into the final year of his contract.
The ex-Brighton and Hove Albion and Nottingham Forest man, signed in 2012, has played more than 300 games at club level.
He has impressed while playing Town head coach David Wagner’s full-throttle 4-2-3-1 system.
And the fact he is left-footed adds to his appeal.
Rangers have been linked with Lynch, who played 40 times and scored two goals for Town in 2015-16, since he end of the season.
They have released long-serving former Crystal Palace player Clint Hill.
In addition, Italian Gabriele Angela has returned to Watford after a loan spell at Loftus Road.
That has left former Tottenham Hotspur man Grant Hall and versatile ex-Manchester City player Nedum Onuoha as the main existing options in the middle of defence.
QPR signed keeper Alex Smithies from Town for £2m last August.
And manager Jimmy Floyd Hasselbaink worked with Lynch when he was a coach at Forest.
Town have signed German centre-back Michael Hefele from Dynamo Dresden.
But they would certainly be in the market for another should Lynch leave after 126 Town appearances and nine goals.