The midfielder was thrilled to have clinched a win for Bayern Munich in stoppage-time, while Philipp Lahm admits that the Bavarians got lucky with the victory
The Spaniard sealed the result in the 93rd minute after Claudio Pizarro equalised for the Bavarians with 14 minutes to go, following Vedad Ibisevic's unlikely opener for the hosts.
Thiago's acrobatic volley continued the Roten's brilliant run of results as they look well on their way to defending their Bundesliga title this season, though the 22-year-old insisted that Stuttgart put in a solid shift en route to almost snatching a point from Pep Guardiola's men.
"We tried to get this win right to the very end," the former Barcelona star told reporters. "It was fantastic to score such a wondergoal.
"I think teams tend to give their all when they play against Bayern and do everything to get a win. Stuttgart have a very strong team and made life very difficult for us, but this was a great chance to extend our lead over the teams in second and third, and we managed to take it."
Philipp Lahm, who played in the defensive midfield role on Wednesday that he has made his own this campaign, thought the victory was fortunate and suggested teams are keen to become the first ones to beat Bayern in the 2013-14 league campaign.
"When it's 1-1 just a few minutes from time, then of course it's a lucky win," the club captain said. "We were not as clinical as usual.
"We showed in the second half how we can play patiently. Stuttgart did a good job. Now everybody wants to be the first opponents to beat us."
The victory leaves Bayern 17 points clear of third-placed Borussia Dortmund and 13 points adrift of nearest rivals Bayer Leverkusen.