The 24-year-old, who won All Australian selection in 2010, is out-of-contract at the end of the 2013 season.
"We're just trying to sort out the finer details of my contract," the 125-game veteran told Channel Nine's The Footy Show on Thursday night.
"I'm looking forward to signing a new contract at Richmond and being there hopefully for the rest of my career.
"Hopefully, for the Richmond faithful out there, I can be putting pen to paper soon and we can have some great news."
The Tigers are sixth on the ladder after 14 rounds and appear headed for their first finals appearance since 2001.
Riewoldt said he was unaware of any possible offers coming from rival clubs such as bottom side Greater Western Sydney.
"I don't know about that. They go through Liam Pickering and my management," Riewoldt said.
"I don't hear about that. I focus solely on playing football for Richmond.
"I love the club and I'm really hoping to put pen to paper soon."
Riewoldt has kicked 40 goals in 2013 and is on track to boot 60-plus for the fourth consecutive season.