Gers boss Walter Smith is now said to have joined the race for the 22-year-old, who is valued at £2m.
"I don't know much about that (Rangers), but I have also heard that." Bjarsmyr told Expressen.
"There was a guy who called and told me about Rangers, but I told him to talk to my agent Martin Dahlin.
"Martin is handling all that and he has not told me that there is something serious."