Goals from Esteban Paredes and Eduardo Vargas were enough to secure victory for the hosts in Santiago, and the 53-year-old feels his side were good value for their win.
“My team were rewarded for playing a great match against a great opponent,” he told reporters after the game.
“Uruguay were a direct rival and a tough opponent of ours. The effort of my players was important in the context of our fight for qualification. We stopped Uruguay from becoming the protagonists. We grew in stature after the first goal went in, but we must learn to further enhance our team play.”
Sampaoli also revealed that he has earmarked the trip to Paraguay on June 7 as a pivotal moment in his side's qualifying campaign.
“We know we have to be strong at home, but the match against Paraguay is especially important. We have to prepare well and win at all costs, even away from home," he continued.
"It will also be important to determine our final position [in the group]. We cannot squander any more points.”
The victory leaves Chile two points ahead of Uruguay in second in the Conmebol qualifying table, nine points behind leaders Argentina, who drew 1-1 with Bolivia in La Paz.