Gavi is carrying a knee sprain and has been receiving treatment.
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However, before today's clash with Getafe, Flick admits a change of thinking could now happen regarding the injury.
The German said: "Now is not the time to make definitive decisions. We will wait two or three days to evaluate how the situation evolves.
"We will know more at the beginning of next week. Gavi is a key player for us, due to his quality and character, and we want to see him back on the pitch soon."