Gladwin's loan spell at the County Ground is due to expire next week, but the 23-year-old is keen to make his stay a longer one.
Gladwin has played five times for Swindon since agreeing to sign for the League One club, and he has enjoyed his time at the club to date.
"I've loved it," he said. "Every footballer just wants to play football."
"I'd like to try and get my loan at Swindon extended. QPR are flying at the moment and it comes down to them and what they want to do. I'd like to continue playing football."
Gladwin only departed Swindon for QPR during the summer transfer window, but he has struggled for appearances at Loftus Road.
The trickster played just three times for the R's after arriving, as he failed to break into Chris Ramsey's starting line-up.
At Swindon he has played a crucial role, and his performances have highlighted the class which made him such a stand-out player last season.
In Gladwin's absence, QPR's form has been patchy, but they did win their latest fixture 3-0 against Milton Keynes Dons to move into 10th place in the Championship table.