Both players face uncertain futures at Anfield, and Liverpool may want to cash in.
Whilst there are many arrivals at Anfield this summer as Brendan Rodgers looks to build a Liverpool squad to compete on both the domestic and European stage, it would be of little surprise if there are some departures this summer.
The headline departure will, of course, be that of Luis Suarez to Barcelona for a fee believed to be around £75 million, but reports in the past week have linked both Daniel Agger and Lucas Leiva with moves away from Anfield.
It has been said that Liverpool are prepared to listen to offers for their vice-captain Agger of around £12 million whilst a report in the Daily Mail suggested that midfielder Lucas Leiva is attracting the interest of Serie A side Inter Milan.
Both Agger and Lucas were signed by Rafa Benitez, and have been around the club for a fair amount of time. But both players last season had their struggles when it came to getting regular football at the business end of the season.
Mamadou Sakho came in for Agger on several occasions at the heart of defence, whilst Lucas Leiva only really got an opportunity when Jordan Henderson was serving a three-game suspension in late April and early May.
Agger was the subject of much speculation last summer. Both Barcelona and Manchester City were said to be interested in him, whilst Napoli have also reportedly expressed interest.
The Dane himself has voiced his displeasure at the prospect of being second or third choice at the heart of the defence, and with the forward turning 30 in December, some would probably view it as an ideal time to cash in on a player that hasn't really had a full season at the heart of the defence, whether that has been because of injuries or performances.
Lucas's days seem to be numbered at Anfield. Some rate the Brazilian highly, some don't - but it would appear given the style of play undertaken, combined with the position he was deployed in during the second half of last season's campaign.
He's more naturally suited to playing in a deeper midfield role, but Brendan Rodgers seemed happy with Gerrard playing in the deeper role in order to capitalise on his passing range, and combined with the signing of Emre Can for Bayer Leverkusen - a younger, more versatile player who can play in defensive midfield - Lucas may well find himself slipping down the pecking order if he were to stay at Anfield.
Couple that with the fact it no longer says he is a Liverpool player on the midfielder's twitter account, speculation is rife that his days are numbered on Merseyside.
When Lucas did play in a more advanced position, he looked pretty uncomfortable, barring a terrific second half performance in the win at West Ham United last season. He seemed to give away too many cynical fouls for a player who was playing on either side of a diamond system.
Brendan Rodgers likes his players to be versatile, and if Lucas hasn't demonstrated enough of that during his time working with the Reds boss, the likelihood he could be surplus to requirements. At 27, now would be a good time to get a reasonable fee for him, from a business perspective.
It would make sense to let both players go in one way, but if you take these two players away, there is a degree of experience that will be absent as well. Brendan Rodgers likes to put his faith in youth, but if Agger and Lucas do depart, it will be interesting to see just how much their absence is felt.