The Brazilian is not likely to be on his way to Anfield this month.
The report claims that Liverpool have not met the £35 million asking price for the player and that the Ukrainian side will not undersell the player, as they believed they did with Douglas Costa to Bayern Munich.
Shakhtar are also wary of the impact selling Teixeira could have on their title hopes, as they are currently neck-and-neck with Dynamo Kiev in the title run-in.
Now the club's CEO has come out to speak about the deal. Sergei Palkin is quoted as telling Football 1 in Ukraine, as reported by Terrikon, that the club will consider selling the Brazilian in the summer - but that for now he will only leave if Liverpool pay his £53.1 million release clause:
"They stopped in the amount of €32 million and €4 million in bonuses (deal worth £27.3 million).
"This is the last number that was announced. Our position is that we do not want to sell Teixeira today.
"We will sell him only at the end of the season. We need to show serious results in the Europa League and the Championship of Ukraine. At the end of the season we will sit down at the negotiating table.
"In Teixeira has a clause in his contract. The price €70 million (£53.1 million). Please, if someone pulls - let him come and declare himself."
This would represent a huge blow for Liverpool as they are not going to spend over £50 million on Teixeira now or in the summer, although it is likely he would be available for less in the summer.
Earlier in the week the Brazilian made it clear he would like to head to Anfield. He spoke to Anfield HQ and stated:
"The team received one official offer from Liverpool. It was rejected. I don't know why.
"It was a great offer. It is frustrating. But the manager and club president decided against it.
"Yes, it (Liverpool) is a huge club. So many great players have passed through there. It would be an honour to defend the Liverpool shirt.
"No there's only been one offer, €32 million (£24.4 million) and Shakhtar rejected it. I know my agent is still attempting everything possible to help me get to Liverpool."
The Ukrainians want their star player at the club until the end of the season - so Liverpool might need to wait until the summer before getting their man.