The 20-year-old Uruguayan is widely regarded as a star of the future, having impressed in the Eredivisie so far this campaign.
Reds boss Kenny Dalglish is keen to wrap up a deal before other interested parties make their respective moves, as he looks to conclude a transfer before the end of the transfer window.
Texeira is valued at around £8million, but Liverpool may be forced to pay closer to £10million - as the South American youngster's former club Defensor Sporting have a 20 per cent sell on clause written into his Groningen contract.
Dalglish will attempt to knock down the asking price, and a newspaper in Texeira's homeland, Ovacion, is reporting that a £9million deal is imminent.
Liverpool director of football Damien Comolli will also attempt to sweeten the deal by offering Groningen a pre-season friendly, which would see the club's former hero Luis Suarez return to the Euroborg stadium in a potentially money-spinning run out against the Reds.