Both players' current contracts expire in the summer.

Furlong is Rangers' top scorer this season with 17 goals and Ainsworth's disappointment at being sidelined for the rest of the campaign has been eased by the offer of a new deal.

Kevin Gallen and Marcus Bignot signed for two more years this week.

Meanwhile, Chris Day is back at Loftus Road following his loan spell at Preston.

He could feature for Rangers before his contract also expires as Simon Royce is set to return to Charlton when his second month on loan ends.