The Blues teenager suffered a ruptured Achilles against Burnley in April, and there were fears he could miss up to nine months of action.
However, he now looks set to return by the end of the month, providing manager Frank Lampard with a timely boost.
Chelsea have taken just one point from their opening two Premier League games, losing 4-0 to Manchester United and drawing 1-1 with Leicester.
Hudson-Odoi could provide the attacking spark needed to kick start Lampard’s reign at Stamford Bridge.
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