Gers fan page Four Lads Had a Dream appears to be well-connected with comings-and-goings at Ibrox, and a message posted on the group's Twitter account last night read: "Rangers are saying links to Downing, Brophy and Naismith are rubbish, for what it's worth.
"As in, five minutes ago. Talks ongoing with Oldham [over defender George Edmundson] is the only thing that is true in the media today and no agreement yet.
"Take from that what you want folks, but should save everyone asking me as I have no info on it."
Reports suggested Rangers had rekindled their interest in 34-year-old Downing, who left Middlesbrough at the end of the season after two goals and one assist in 40 matches.
Hearts are understood to have all but agreed a permanent deal for Naismith, who has spent the last 18 months on loan at Tynecastle, while Kilmarnock forward Brophy - named yesterday in Steve Clarke's first Scotland squad - is under contract at Rugby Park until May 2021.