The 21-year-old was signed by Brendan Rodgers from Sporting last September but spent the second half of last season on loan at Granada.
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The 21-year-old signed for Brendan Rodgers’ side from Sporting last September but was sent out on loan to Granada in January and made nine appearances for the Spanish club.
Ilori, a Portugal Under-21 international, had been linked with a loan move to Borussia Dortmund before his switch to Bordeaux.
The French club currently sits second in Ligue 1 following Sunday's 4-1 win over Monaco.