Bright Osayi-Samuel is in Belgium discussing personal terms with Club Brugge after QPR accepted an offer for the winger.
Rangers are ready to sell for £4.7m after being unable to persuade Osayi-Samuel to sign a new contract.
The club triggered an option to extend his deal, which was due to end this summer, by 12 months.
But he indicated that he would continue turning down their offers of another contract.
It left QPR facing the prospect of losing him on a free transfer next summer.
Rangers hoped accepting an offer might lead to bids coming in from Championship clubs.
However, none have shown any solid interest despite several being linked with him.
Financial concerns meant transfer activity among EFL clubs was slowing even before the coronavirus pandemic, which has created huge uncertainty.
QPR therefore decided to accept an improved offer from Club Brugge, having previously rejected a bid of around £3m from the Belgian outfit.
Rangers staved off interest from various clubs in Osayi-Samuel in the final stages of the January transfer window, although none indicated they were ready to pay close to £5m.
But West Ham have indicated that they are interested in a potential deal to sign Osayi-Samuel’s QPR team-mate Ebere Eze.