The veteran striker scored perhaps the most important goal of Atletico's campaign so far to complete the comeback against Osasuna on Sunday. Los Rojiblancos had fallen behind in the encounter, with Real Madrid going above them in the table until Suarez's strike two minutes from time.
"I don't think we deserved to suffer as much as we ended up doing because we had one of our best halves of the season," Suarez said at full time.
"We missed lots of chances, including me.
"We have to get used to suffering in order to win LaLiga and that's what happened today.
"Everyone says that [suffering] is Atletico's thing. I didn't think there was as much [suffering] as this!
"But anyway, the effort, the sacrifice that this team is making... there are lots of people working to achieve our goals.
"Now it's time to enjoy it, stay calm and prepare in the week ahead."
Suarez's goal arrived after, as he mentioned, he missed a great chance in the first half, with his effort only hitting the post from close range.
"Sometimes, as a striker, it's easier to let your head drop and to get yourself down, but that's never been me," Suarez admitted.
"I'm happy and proud of that. If you fight, you never give up and you can achieve an objective like today."
Atletico take on Real Valladolid at the Estadio Jose Zorrilla knowing that a win will seal the title.
"It's in our hands," Suarez added.
"It's the most important game of the season. We've had many, but this is so important in achieving our goal."