Godin, a stalwart in a backline that has conceded only one goal in four matches, sustained a thigh injury in the 2-1 victory over South Korea.
He had trained separately for the first 15 minutes of a practice session on Monday, jogging round the pitch with fellow Diegos Forlan and Perez.
Asked about Godin's condition on Tuesday, Tabarez said: "It is the doctor who should be speaking. He (Godin) is recuperating. We still don't know if he will play or not."
Uruguay's solid defence and speedy attack has got them to the last eight for the first time in 40 years and emotions back home are running high.
La Celeste won the World Cup in 1930 and 1950 and the country's three million people are desperate for a return to the glory days.
"It is an important game for the Uruguayan nation but, for me, I don't like to think about this. I like to concentrate. It is not good to think too far ahead."
"They are fast, strong. They did well in other games, even against Germany," he told reporters.
"I have a good relationship with Luis and I'm happy to see him score. We have a collective objective, not personal. We just want to help the team," Forlan said.
Dozens of Kimberley residents were allowed to watch the start of Tuesday afternoon's training session and the players chatted to them and signed shirts, Uruguay flags and balls to the delight of the local children.
