GREEN BAY, Wis. -- James Jones arrived Sunday with the expectation that he will re-sign with the Packers. And that will be the case.

A source told ESPN that the wide receiver agreed to a deal with the Packers. The transaction won't be announced until Monday when Green Bay will have to release another player to fit Jones on their 53-man roster.

A source told ESPN that receiver Myles White will be the player released to accommodate Jones on the roster.

And the team's former receiver does not think it will take him long to reacquaint himself with Aaron Rodgers and the Packers' offense.

"I'm only one year removed," Jones said Sunday shortly after he got off the plane at Austin Straubel Airport. "It seems like 10 years, but time will wait. Get with Aaron. I'm sure they probably have some new stuff. We'll see what happens, but let's make it happen first."

James Jones has arrived in Green Bay. Headed straight to Lambeau Field. When asked if a... http://t.co/WNtkfn5JqH pic.twitter.com/CdlRIQI0sO — Rob Demovsky (@RobDemovsky) September 6, 2015

Jones last played for the Packers in 2013, when he caught 59 passes for 817 yards and three touchdowns. He left in free agency the following offseason to sign a three-year, $10 million deal with the Oakland Raiders, who cut him after just one season. Then he signed with the New York Giants in July but did not make their final cuts Saturday.

At that point, the Packers called to set up a visit.

His agent, Frank Bauer, had indicated earlier Sunday that if all went well with Jones' visit, a deal would get done with the Packers.

"That's the plan, man," Jones said earlier Sunday from the airport. "Hopefully something gets done. I flew all the way over here, so hopefully something gets done. I'm excited, man, it feels good to get back and be back home, so we'll see what happens."

The Packers have had their eye on Jones ever since Jordy Nelson suffered his season-ending knee injury on Aug. 23 but could not contact him until the Giants released him. Because he's a vested veteran, he was not subjected to waivers.

"To be honest with you, I didn't even think about it, man," Jones said when asked if he thought a return was possible after Nelson got hurt. "Me and Jordy are so close. The only thing I thought about was my man missing a whole season. I know how hard that dude works. I didn't even think about it. I just called him. At first I texted him, said, 'Please tell me it's not true.' I texted him right when I heard and after he told me it was true.

"No, man. I was trying to make that team [the Giants]. I really didn't think about coming back. I was just praying for that guy."