Bruno Genesio's side are in third spot, three points behind champions Monaco and seven adrift of leaders Paris St Germain.
Monaco won 2-0 at Bordeaux on Saturday while PSG, without the suspended Neymar, beat Nice 3-0 on Friday.
Despite the victory Genesio was critical of his side's display against a Metz side who have lost 10 of their first 11 games and look destined for the drop.
"I'm not happy, apart from the first half-hour, we must do better," he said. "What I saw in the second half did not please me. It shows that we are still an immature team."
Lyon face Everton in the Europa League on Thursday.
(Reporting by Martyn Herman; Editing by Clare Fallon)
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