The line-out specialist is back in the Warriors fold after an absence of two years with Ulster and Castres.
And he believes victory in Wales can act as a springboard to a bright campaign.
Tim told Sporting Life: "There are many big differences in the set-up compared to my last stint at the club.
"The most obvious one is the degree of belief in the squad. A couple of seasons ago, we never expected to win away from home.
"Now the guys expect to win every match, no matter where we play.
"Just look at last season when Glasgow won at Munster, Ulster and the Dragons."
Tim, fit again after an ankle problem, also reckons he is better equipped to deal with the demands of top-flight professional rugby.
He explained: "I had to leave Glasgow for personal reasons and went back to Ulster.
"But things didn't work out and I ended up spending six months in France with Castres.
"That turned out to be a great move for me because I was involved in a huge amount of very demanding rugby in a short space of time.
"I learned a lot over there and I feel I have improved considerably.
"While I loved the French experience, the bottom line was that I wanted to be back in the UK - and that meant Glasgow.
"The Warriors are now respected by every other side in the league. A few years ago, when I was at Ulster, everyone expected to beat Glasgow home or away.
"It is a different story now."
Glasgow coach Sean Lineen said: "Tim has come back to us bigger, more mature and worldly wise. He is a toughie.
"He has brought a hard edge to the squad and has the type of attitude you need against a team like the Dragons.
"His ambition was clearly to return to Glasgow and, after shaking off his injury worries, he is firing on all cylinders."