He was the subject of three rejected bids from the La Liga leaders in the summer and remained at Anfield despite submitting a transfer request in an effort to force a move through.
In addition to manufacturing Barcelona's kit, Nike also sponsor Coutinho, who wears Nike-made boots.
The Dutch worldwide will become the world's most expensive defender when he officially completes his record move to Anfield on New Year's Day.
"Philippe Coutinho is ready to light up Camp Nou".
Nike have since deleted the section on their website.
Coutinho's agents are due to meet with the Blaugrana on January 3, with the latter party looking to thrash out a deal.
In fact, Paulinho has apparently been making jokes about Coutinho looking for a house in Spain, which might actually be true.
Liverpool did of course recently announce the signing of Virgil van Dijk for the hefty fee of £75m.
"No, nobody told me that [I would have to sell Coutinho]", said Klopp on Friday. I have no information about that.
"There is nothing to say".
'I was really happy about the last few performances and about his impact. That was spot on.