The Scottish Championship side are hoping to add the 33-year-old to their ranks ahead of their top flight return.
Former Queens Park Rangers assistant boss Joe Jordan has suggested that Rangers' move for Joey Barton does not surprise him at all, and makes sense for both the club and the midfielder, the Evening Times reports.
Despite proving to be a key man in Burnley's promotion to the Premier League, the 33-year-old is being lined up for a summer switch to Ibrox as Mark Warburton attempts to bolster his ranks ahead of their own top flight return.
And while some may question Barton's decision if he ultimately decides to leave Turf Moor, the former Scotland forward - who worked alongside the midfielder at Loftus Road - claimed that there is some logic to the decision.
"Why should I be surprised? He is a player that is available and Rangers are a big club," he told the Evening Times.
"Joey has had a very good season, he has been very instrumental in the success Burnley have had. He has been in good form this year."
While staying put may present more riches for the one-time England international, the lure of joining a club such as the Light Blues during the twilight of his career may be what is making a move to Scotland too irresistible to turn down.
Sean Dyche's men would surely accept 17th in the Premier League if it was offered to them right now, which would still involve more defeats than victories, while Warburton's men's wins over Scottish Premiership opposition this past season suggests that they will be looking to do more than simply survive.
And that opportunity to compete towards the summit may be what ultimately tempts Barton to decide that leaving Burnley for Rangers is the right choice for his career.