Vine has been allowed to leave the club
The 28-year-old has struggled to establish himself in west London since joining the club from Birmingham in 2008, spending loan spells at Hull, Brentford and MK Dons last season.
Vine will now join up with Doncaster from Monday in a bid to prove his worth to Sean O'Driscoll's side and gain first-team football.
Meanwhile, Rangers welcomed back Italian duo Alessandro Pellicori and Matteo Alberti from loan spells in their homeland.
Pellicori made 23 appearances for Serie B side Torino last season, while Alberti enjoyed a season-long spell with Lega Pro Prima Divisione A side AC Lumezzane.
