That’s according to The Times.
The pair are both of contract at Anfield and have only fulfilled back-up roles in Jurgen Klopp’s squad over the last 12 months.
Moreno was restored as first-choice left-back for a brief spell at the start of last season before injury in December 2017 allowed Andy Robertson to come into the team and nail down the position.
The Spaniard has since managed just 12 appearances since then with just four Premier League starts, all coming in games in which Klopp rotated his team.
The Times report that Moreno is likely to return to La Liga, having come through Sevilla’s academy before a £12.5million switch to Merseyside in the summer of 2014 under Brendan Rodgers.
Speaking out on his situation, Moreno recently lamented Klopp to Spanish outlet Ondacero.
He said: “I didn’t feel [the decision to stick with Robertson] well, I was injured giving my best for our team.
“I disliked Klopp’s decision because I was training but when I returned he only wanted Robertson.
“My relationship with Klopp hasn’t changed but since this injury, I didn’t have a meeting with him but our relationship is normal.
“I disliked the way that Klopp has treated me but I understand his situation that he can’t change [Robertson] because the team is winning.”
Yet despite the reports from the Times, Moreno declared that Liverpool suggested they could pen the much-maligned 26-year-old to a new deal at Liverpool.
He added: ”Liverpool has proposed renewing me but no agreement has been reached.
“To this day we have nothing closed neither with Liverpool nor with other clubs.”
Sturridge, meanwhile, has seen his past three-and-a-half seasons struck by consistent injuries, although he has regained fitness this season.
But with Roberto Firmino, Mohamed Salah and Sadio Mane all sure-fire starters, Sturridge has continued to have to settle for a bench role.
Earlier this season the striker impressed and supplied important goals in a Champions League win over Paris Saint-Germain and a stunning late equaliser to preserve a point away at rivals Chelsea.
But the 29-year-old has since gone 11 games without finding the back of the net, turning in a particularly disappointing display during the Reds’ FA Cup loss at Wolves.
And with his wages rumoured to be around £120,000-a-week, Liverpool will also the former England international to leave the club.
Sturridge’s future is also uncertain with disciplinary proceedings yet to be settled. He has until February to respond to charges of misconduct from the Football Association related to gambling and could face anything from a fine and a warning to a lengthy suspension if found guilty of a rule breach.
With Sturridge leaving in the summer and Divock Origi’s long-term prospects at Liverpool also bleak, it is likely Klopp will recruit fresh firepower up top.