Despite the club not being certain about the future of boss Rafa Benitez, they are pressing on with transfer business.
The Magpies do not want to be caught out by their rivals for certain players this summer.
Record in Portugal says Almeida is one who is highly sought after by Newcastle.
The 28-year-old right back managed 12 assists in Liga NOS last season as Benfica won the title.
He has been at the club eight years, but a move to the Premier League would be too tempting to turn down.