The 26-year-old has been constantly linked with the Reds this January.
Indeed, it is suggested a bid from the Reds is very unlikely as they rate Teixeira at £25 million.
Shakhtar Donestk, however, value the forward at £38-million - and a change of heart from them is not expected any time soon.
That would leave the two clubs at an impasse for now but could pave the way for a summer transfer.
Indeed, Sky Sports reported at 8.19am on Deadline Day: "We understand that it’s very unlikely that Liverpool will go back with a third offer for Alex Teixeira today.
"Liverpool have made their intentions to sign Teixera pretty clear this window but the deal seemed to have hit the buffers regarding the transfer fee. Shakhtar Donetsk wanted £38 million but Liverpool offered £25 million - it is understood that Shakhtar proved difficult to negotiate with.
"Unless Shakhtar have a change of heart - and this would be incredibly surprising - then this looks like one for the summer window."
It looks as though Jurgen Klopp will have to make do with what he has for now at Anfield, then.
Christian Benteke has been poor, while Divock Origi and Danny Ings are injured. That leaves the emphasis on Liverpool's attacking midfielders.
Roberto Firmino, Philippe Coutinho, Adam Lallana and more will have to be at their best as the Reds look for a strong finish to their Premier League campaign - and Capital One Cup final & FA Cup clashes.