But Origi confirmed on Friday afternoon that he won't return to the Anfield club until the end of the current campaign.
"I just wanted to clarify after today's press reports that I will continue to give my all and 100 per cent for Lille over the coming months," Origi said via his Twitter account. "I am very much looking forward to joining Liverpool from next season."
The Belgium continued: "I said I would stay for the whole season and I wish to remain honourable in that, of course. But if there was a decision by the clubs, I would not say I wouldn't like to go to Liverpool in January. Brendan Rodgers is in contact, he (speaks) regularly, he wants to know how I am feeling.
"It makes me feel very good and wanted. Also the medical staff, they stay in touch for the same reason - to keep me involved, telling me that they are looking forward to me coming to the club. If there was that chance of joining Liverpool sooner I would take it."
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