The 31-year-old has netted seven times in 30 appearances for the Cottagers this season.
That included a substitute appearance in Friday's 2-1 FA Cup defeat at Everton.
But R's manager Mark Hughes is keen to bolster his attacking options as he looks to guide the club away from the Premier League relegation zone and he is looking to tempt Zamora to Loftus Road.
There has been much speculation in recent months of a rift between Zamora and Cottagers boss Martin Jol.
Although the pair have both played down such talk, speculation has been rife that the striker could move to pastures new.
QPR have often been mooted as a potential destination, with speculation heightened by the arrival of Hughes at Loftus Road.
Zamora played under the Welshman last season, scoring seven goals in 16 games in all competitions.
The 31-year-old penned a new four-year deal at Craven Cottage during Hughes' reign, tying him to the west Londoners until 2014.
However, Hughes is hoping he can persuade the striker to move away once he has pushed through a deal for Lazio's Cisse.
The France international looks set to join for a fee understood to be five million euros (£4.18million) and QPR hope the deal can be completed in time for him to be registered to feature at Aston Villa on Wednesday.
Nancy's Samba Diakite yesterday became Hughes' third signing since taking over from Neil Warnock following the arrival of AC Milan left-back Taye Taiwo and Manchester City's Nedum Onuoha.
Manchester United striker Federico Macheda arrived on loan earlier this month during Warnock's reign.
