Dubbed the "Egyptian Messi," Salah has been the subject of admiring glances from across Europe after a string of high-level performances.
However, it appears Rodgers has stolen a march on his rivals.
According to Metro, further negotiations have brought a deal closer with both clubs now in hourly contact.
Provided Basel lower their original £12 million asking price and a payment structure can be agreed, the deal will go through before the close of the window.
Salah is certainly a player that will excite the Anfield faithful. The "Messi" tag could be considered a burden but the Egyptian has coped admirably with the extra attention such a moniker may bring.
His European football education with the Swiss champions has stood Salah in good stead and he is now ready to graduate on Merseyside.
Ross Dunbar of the Daily Mirror notes the player's strengths and how he might fit into Rodgers' plans:
Salah is a very quick runner off the ball...sharp decision-making and movement is key to the Egyptian’s overall game and Salah has superb composure in-front of goal.
He has the intelligence to find space, while playing in an inverted style on to his left-foot, and he is willing to come out wide to get the ball.
He rarely does boring tap-ins either, finishing intricate moves with conviction and as seen against Chelsea, he's especially clinical when presented with a chance on his left-side.
Anfield could be a perfect destination for him. An interchanging forward line with Luis Suarez, Daniel Sturridge and Mohamed Salah would make the Kop buzz with excitement.
It seems everyone is excited about the youngster. For a start, despite his age, he already has a decent pedigree.
In 27 games for the Egyptian national team, he has plundered a more-than-acceptable 17 goals from the wide areas.
Four goals in 18 games in the Swiss Super League and five in 10 Champions League starts (per Goal.com) also evidence the player's quality in front of goal.
That sort of return is precisely what Rodgers is looking for from his wide men, and one would have to be fairly certain in the knowledge Salah would start on the right side of a mesmerising three that includes Suarez and Sturridge.
Any doubts the Anfield faithful may have as to the player's suitability should be dispelled when viewing his performances in either leg of the Champions League matches against Jose Mourinho's Chelsea.
Such performances are not one-offs either. Goal.com covered the London Olympics and Salah was a notable performer:
He has been a revelation in London, firing three goals in his first three matches, against hot favourites Brazil, New Zealand and Belarus.
So far, he has been a standout performer, being excitingly lively in all four games he was involved in, highlighting not only his goals, but his speed and dribbling skill against proven defenders like Marcelo and Thiago Silva. He is the future of Egyptian football.
Simply put, Rodgers will strike gold if the player signs on the dotted line.