Robertson has been a revelation at Liverpool having signed for £8million from Hull City in 2017, becoming a key player under manager Jurgen Klopp.
The 24-year-old is recognised as one of the most consistent left-backs in the Premier League, whilst he is a fan favourite on the Kop due to his exuberant attitude.
Liverpool have been in discussions with Robertson's agent over an extended contract as they look to reward the Scotland international for his swift development.
Robertson still has three-and-a-half years left on his current deal, whilst he is believed to be earning around £50,000 a week - wages that are sure to be at least doubled.
The club are expected to make an imminent announcement, according to Dominic King of the Mail and Paul Joyce of the Times.
Update (18:00 GMT): Robertson is confirmed to have signed a contract extension, telling the official website:
“As soon as the club came to me, it was a no-brainer for me – I want to stay here, so as soon as they put an offer on the table it was signed as quickly as that.
“It was a pretty easy contract for me and I'm sure for the club as well. We both agreed very quickly, that's why it's been done so quickly.
“Getting to know the lads and working with all the staff at Melwood has been a pleasure. The best thing about work is when you love coming in every day – and that's what I do here. I am glad I have extended my stay and hopefully we have a lot of good days ahead.”
The left-back isn't the only one who is set to be in line for a new deal, either. Liverpool are also looking to reward Trent Alexander-Arnold with a third deal in the last 18 months.
The local youngster has become another integral part of Klopp's back-line, who have the best record out of all 20 Premier League clubs so far this season.
Alexander-Arnold's development has been nothing short of extraordinary, with the 20-year-old one of the brightest talents to come out of Liverpool's academy.
With most of those signing new deals still having years remaining on their current contract, it's another sign of how well Liverpool are being managed. .
With so many of the current squad's stock rising so swiftly, the club are keen to make sure they are well-rewarded to pry off any potential suitors.
The Reds are back in action on Saturday afternoon as they look to extend a four point gap at the top of the table with victory against Crystal Palace.
Liverpool vs Crystal Palace kicks off at 3pm at Anfield and you can keep up with all the action via LFC Globe's live match-day coverage.