The 28-year old Brisbane Roar captain is reportedly close to joining the Scottish champions for a cut-price of £320,000 and the club have made it clear that the Australian midfielder is a certain transfer target.
"Rangers are hoping to make Australian international star Matt McKay their next signing as Ally McCoist continues to bolster the squad,” read the statement.
"The 28-year-old midfield star is firmly in McCoist's sights and a deal could be done this week. McKay is in the UK as Australia have a friendly international with Wales on Wednesday night and Rangers would love to do a deal before the Europa League play-off deadline on Thursday.
"McKay comes highly recommended by former team-mate Craig Moore who, of course, spent nearly ten years at Rangers, and Ian Ferguson who has watched McKay blossom.
"He also played beside Charlie Miller who was also impressed by his ability.
"There are work permit issues but Rangers hope to overcome them."