The Uruguay international has little doubt that Diego Simeone's side can deal with their star striker's absence and was pleased with Wednesday's 1-1 draw against Barcelona
The Spain international picked up a hamstring in the first leg of their Champions League quarter-final tie against Barcelona on Tuesday and was forced to leave the pitch in the opening 45 minutes of the 1-1 draw.
The length of his expected absence is yet to be confirmed but Godin feels that Atletico have already shown that they are a force with which to be reckoned even without their star man.
"We lost Diego Costa, an important player for us, quite early and you always feel for a colleague who goes through that," he told Uefa's officialy website, "but we already knew that this group of players is capable of facing up to a challenge like that and we proved it [at Camp Nou]."
Godin voiced his satisfaction with Atleti's performance at Barca and is hopeful that they can progress to the semi-finals.
"I don't think we really suffered much in this game. We put in a monumental effort, each of us, and I'd say we did exactly what we had to do all through the match," he enthused. "This was a very complete performance.
"Taking into account that we were the away team, playing in a stadium where it's so difficult to get anything, we have to be very satisfied with this result – particularly having scored the away goal.
"It leaves the tie totally open and, while there are still 90 minutes to play, we are pleased with this."