Tyrone, who spent three seasons with the Warriors, will be involved for the Falcons during Saturday's pre-season friendly against Nottingham in Darlington, said: "It has been great so far. It has all happened very quickly but I have really enjoyed it.
"I got a text on the Wednesday saying the Falcons wanted to take me on trial, I drove straight down and was training with them the next day. I spent the following week away with the squad at their training camp in Yorkshire and have now signed up full-time. It's great how it has worked out.
"It has been nice and refreshing. The boys have been great with me, I enjoy the coaching and it has really brought back my love for the game.
"I never felt that I was finished with rugby. I always had a drive and a desire to play, and when this opportunity came round I grabbed it with both hands."
Asked what he hopes to bring to the Falcons' back-row, he added: "Last season the team showed a lot of character and a huge amount of heart. That is something I want to be a part of and add to, and I just can't wait to get going.
"I am so excited to be getting such an early run-out against Nottingham on Saturday. Hopefully it will go well and I just want to get stuck in.
"Playing in the Aviva Premiership has always been an ambition of mine. I came over and played Championship rugby for Cornish Pirates a while ago before returning to sign with the Stormers in Super Rugby, but taking that step up into the Premiership is something I have wanted to do for a long time. It is a league I have admired from a distance and I am so glad to now have this opportunity with Newcastle."