Reports from England had linked Jones with a possible move to Leicester next season.
Talking in The Scotsman, Jones said: "Obviously I chatted to other clubs. I'm sure most players do when they're out of contract at the end of the season. I had in-depth chats with Dave Rennie, Gregor Townsend and Scott Johnson. Just about my future really.
"They've been around long enough and seen players who have come to Scotland and been in my position and I think at the moment, for my career it's good to stay for another couple of years."
Townsend would certainly have been keen for Jones to remain within the Scottish system going into a World Cup year.
"Yes that comes into it. Obviously as a player you just want to play as much as you can but it's the medics' and coaches' job to manage you from a recovery point of view," added Jones. "Core international players are only meant to play four or five games on the bounce. So that comes into it.
"I've enjoyed my time here so far. I haven't played as much for Glasgow as I'd like to, with injuries and non-selection but I'm looking forward to hitting the field a bit more in the next couple of years."
Asked if it had been a last-minute change of mind, Jones said: "I don't know if it quite came to that. It was an option, I sought out the advice of a couple of players and sought out the advice of Dave, Scott and Gregor and think I made the right decision."
Jones said he had sought out advice from the likes of Stuart Hogg, who is moving on to Exeter Chiefs at the end of this season but has previously turned down lucrative offers in favour of the stability provided by remaining in Scotland.
"I did seek out advice from other players, guys who have been in the same position as before. Hoggy was certainly one," said Jones. "I've spoken to players all over the world, guys I know and trust, and got good advice from them. When it came down to it I think I made the right decision."
Rennie has made a verbal assurance that he will be at Glasgow for at least another year and Jones hopes that a settled environment will help him continue to improve and be in the best shape possible for some big Scotland games coming up.
"The management point of view comes into it. It's a big couple of years coming up on the field with Glasgow and international rugby as well," said the centre.
"So rest will be quite good. Also the way Glasgow are going, obviously barring Saturday (the 23-7 defeat at Edinburgh), we're doing pretty well in the league, going well in Europe.
"It's an exciting club to be at. Dave has re-signed so we've got a good coach for another year at least and it's encouraging."
Jones came off the bench to fill an unfamiliar wing role at Murrayfield on Saturday. He is hoping to get a midfield start this weekend as Glasgow look to hit back after defeat in the 1872 Cup opener.
"They came with a game plan on Saturday, mostly kicking and putting us under pressure, making us play and make mistakes which fell right into their hands," said Jones.
"Obviously we'll have to change quite a lot this week, deal with that better, play in the right areas and keep hold of the ball. They are a good side. We'll have to be a lot better."