And according to Liverpool manager Brendan Rodgers (via Goal.com), that might just be a move that soon comes to fruition:
"Clint is a player we've enquired about, it is as simple as that," the Reds coach told the club's official website.
"Ian Ayre, our managing director, has spoken with the club [Fulham] to see what the position is. That is where we're at.
Liverpool's interest in the American has long been rumored, but now it's official. This is far from meaning a deal is even close to complete, but with Rodgers' affirmation, at least we can talk about it without feeling like we are chasing empty rumors.
Dempsey, who would likely be brought in as Andy Carroll is sold, is without a doubt the right move for the Reds.
Carroll is still just 23, yes, and he's an absolute monster in the air, but four Premier League goals and two assists in 35 appearances just isn't cutting it for someone who is there to produce goals.
Dempsey, on the other hand, has been pure class.
In 37 appearances for Fulham, the 29-year-old racked up an impressive 17 goals and six assists. He got off 3.9 shots and 1.5 key passes per game as he proved himself to be a legitimate threat around and in the box. He might not have Carroll's ability in the air, but he still managed to win 1.4 aerial duals per game at a rate of 42 percent.
Now that's production.
What's even better about Dempsey is that he's versatile.
The Reds could stick him at forward next to Luis Suarez, truly making him a Carroll replacement, giving them the goal-scoring duo up front they so desperately desired as they finished 11th in the EPL in goals scored last season. Dempsey only made five appearances at forward in 2011-12, but he made them count, scoring five goals and putting up an impressive 7.57 match rating.
Should Liverpool target Dempsey?
Or Liverpool could let Dempsey provide his scoring from the midfield, also something they've lacked. He could play an attacking midfield role or he could be slotted in the left midfield position, which is where he was most commonly used at Fulham.
The opportunities are endless.
After yet another disappointing season, the Reds aren't going to be able to attract the big-name targets who want a run at some silverware.
Getting someone like Clint Dempsey, however, is the perfect way to turn that around. He will likely only cost somewhere around £5 million, meaning he represents very little risk. But he has shown in the very recent past he can easily out-play that sum of money.
It's hard to go wrong with low-risk, high-reward acquisitions.