The Portuguese side took the lead on 55 minutes through a rather lucky break. An attempted clearance from David Abraham struck Leandro Romagnoli and went in past Basel keeper Constanzo.
The second and decisive goal for Sporting came four minutes from time when Brazilian Derlei scored to secure all three points.
Coach Bento said after the final whistle that he believed his side were good value for their win at the José Alvalade.
“We started the match well” he said. “We created four opportunities to score in the first half against a team that was well organised in defence.
“The second half was well played; we took advantage of being ahead. I think this was a fair victory, although we could have won by a bigger margin” he added.
Basel trainer Christian Gross thought however that the second half introduction of Sporting substitute Simon Vukicevic had a telling impact on the game.
“I think the difference was the speed of Sporting's game in the second half” he said. “A man came on who speeded up play. They had some luck but deserved to win.
“I'm not unhappy. We improved a lot in relation to our first match. Now we have to show what we're capable of against Barcelona.”