The 27-year-old has long been linked with a move away from Millwall.
“Norwich have made a couple of bids that have been turned down so I’ve done what I’ve done,” said Morison.
“The Premier League is where everyone wants to play and I want to try to take it if they [Millwall] let me.
“I have put in a transfer request and we’ll see what happens, it is out of my hands now.”
Morison’s current contract with Millwall is set to expire in the summer of 2013.
