The 25-year-old, who played under Pochettino at Tottenham before moving to Hull, remains in St Mary's Hospital in London after undergoing surgery on Sunday night.
"The action was very hard and very difficult," Pochettino said. "The good thing now is that he is recovering well and making a lot of progress.
"We will go after the press conference to visit him and to see how he is doing. The squad sent a special video message from Barcelona to him. He is a special player for us and for me personally.
"He grew up here at Tottenham - he is a person that we love. I am in contact with his family and I know he is making some progress. He is much better and has worked a little bit. It is important to know how he is and share some time with him. It will be fantastic for him and for us."