Weir has played an important role in the Warriors' URC campaign when it was expected he may not have seen much game time.
"I definitely feel more valued, and that's brought the best out of myself," Weir told the BBC Scotland website.
"I've got the young legs strapped back on and I do feel that I've helped the team in the right areas in games.
"When you still absolutely love playing the game and you're playing for your boyhood club, it's great. I'm delighted to be staying and this club and city means a lot to me."
The 33-year-old is a popular figure with supporters and he's creeping up the Warrior's list of all-time appearance makers and point scorers.
"It's obviously a massive compliment, but I'm just a normal guy," he said of any 'fan favourite' tag.
"I come from a normal working-class family and if that has rubbed off on my performances - I'm maybe not the biggest man on the pitch, but I'll definitely give 100%.
"If they respect that and give me some good compliments on that, then I feel that I'm doing the club justice and doing them justice."
Glasgow's fly-half stocks will look different next season when Adam Hastings returns and Ross Thompson departs to Edinburgh.
"Adam's a fantastic player," Weir said. "I know he's had a couple of years of tough luck and a lot of time out injured, but having worked with him in the national set-up I know how good an athlete he is and how good he is as a rugby player.
"Ross is going the other direction and I wish him all the best. He's a top-class player and I hope that he gets the game time that he wants and can help his game develop even further."