The quarterback is entering the final year of his current deal with the NFC South champions and is expected to sign an extension before the start of the 2013 season.
General manager Thomas Dimitroff told the Atlanta Journal-Constitution: "The situation is, as we've mentioned, both parties, we're in a very comfortable situation.
"We are focused on the draft again. After the draft we'll continue to discuss (Ryan's contract) and I'm sure both parties, Matt and the Falcons are feeling good about making sure that this gets done at the right time.
"There is no time frame on it right now, and I don't want to keep you hanging on it, but I feel confident things are going to be taken care of when the time is proper."
Ryan was named the offensive rookie of the year in 2008.