The club want a replacement for Tiberio Guarente after he was ruled out of the rest of the season with injury.
Lucas has been linked with a switch away from Anfield as he has failed to hold down a regular place in Roy Hodgson's side.
Future in doubt: Liverpool could receive a bid for Lucas from Sevilla in January
Sevilla are understood to have contacted Liverpool about the player's availability and are awaiting an response from the Merseyside hierarchy.
But Hodgson could be tempted to cash in on Lucas to raise funds for his own transfer plans in the New Year. Inter Milan are reported to be interested.
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